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Finding the Fourth Proportional to 545,154.68, 817,382.10 and 357,947.48

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Solution

The fourth proportional to 545,154.68, 817,382.10 and 357,947.48 is: 536,691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,154.68 : 817,382.10 = 357,947.48 : x
  2. Step 2: Convert to fraction form
    545,154.68/817,382.10 = 357,947.48/x
  3. Step 3: Cross multiply
    545,154.68x = 817,382.10 × 357,947.48
  4. Step 4: Simplify right side
    545,154.68x = 292,579,862,892.11
  5. Step 5: Solve for x
    x = 292,579,862,892.11/545,154.68
  6. Step 6: Final answer
    x = 536,691.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.