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Finding the Fourth Proportional to 541,253.43, 746,911.13 and 299,546.19

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Solution

The fourth proportional to 541,253.43, 746,911.13 and 299,546.19 is: 413,363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,253.43 : 746,911.13 = 299,546.19 : x
  2. Step 2: Convert to fraction form
    541,253.43/746,911.13 = 299,546.19/x
  3. Step 3: Cross multiply
    541,253.43x = 746,911.13 × 299,546.19
  4. Step 4: Simplify right side
    541,253.43x = 223,734,381,762.36
  5. Step 5: Solve for x
    x = 223,734,381,762.36/541,253.43
  6. Step 6: Final answer
    x = 413,363.44

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Double scale
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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.