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Finding the Fourth Proportional to 541,231.92, 746,901.50 and 299,531.16

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Solution

The fourth proportional to 541,231.92, 746,901.50 and 299,531.16 is: 413,353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,231.92 : 746,901.50 = 299,531.16 : x
  2. Step 2: Convert to fraction form
    541,231.92/746,901.50 = 299,531.16/x
  3. Step 3: Cross multiply
    541,231.92x = 746,901.50 × 299,531.16
  4. Step 4: Simplify right side
    541,231.92x = 223,720,272,700.74
  5. Step 5: Solve for x
    x = 223,720,272,700.74/541,231.92
  6. Step 6: Final answer
    x = 413,353.80

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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.