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Finding the Fourth Proportional to 541,149.84, 746,722.76 and 299,400.48

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Solution

The fourth proportional to 541,149.84, 746,722.76 and 299,400.48 is: 413,137.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,149.84 : 746,722.76 = 299,400.48 : x
  2. Step 2: Convert to fraction form
    541,149.84/746,722.76 = 299,400.48/x
  3. Step 3: Cross multiply
    541,149.84x = 746,722.76 × 299,400.48
  4. Step 4: Simplify right side
    541,149.84x = 223,569,152,770.93
  5. Step 5: Solve for x
    x = 223,569,152,770.93/541,149.84
  6. Step 6: Final answer
    x = 413,137.24

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.