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Finding the Fourth Proportional to 541,254.32, 746,932.38 and 299,553.56

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Solution

The fourth proportional to 541,254.32, 746,932.38 and 299,553.56 is: 413,384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,254.32 : 746,932.38 = 299,553.56 : x
  2. Step 2: Convert to fraction form
    541,254.32/746,932.38 = 299,553.56/x
  3. Step 3: Cross multiply
    541,254.32x = 746,932.38 × 299,553.56
  4. Step 4: Simplify right side
    541,254.32x = 223,746,253,508.27
  5. Step 5: Solve for x
    x = 223,746,253,508.27/541,254.32
  6. Step 6: Final answer
    x = 413,384.70

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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.