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Finding the Fourth Proportional to 541,688.19, 747,520.47 and 299,965.56

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Solution

The fourth proportional to 541,688.19, 747,520.47 and 299,965.56 is: 413,947.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,688.19 : 747,520.47 = 299,965.56 : x
  2. Step 2: Convert to fraction form
    541,688.19/747,520.47 = 299,965.56/x
  3. Step 3: Cross multiply
    541,688.19x = 747,520.47 × 299,965.56
  4. Step 4: Simplify right side
    541,688.19x = 224,230,396,395.01
  5. Step 5: Solve for x
    x = 224,230,396,395.01/541,688.19
  6. Step 6: Final answer
    x = 413,947.36

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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.