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Finding the Fourth Proportional to 475,168.74, 655,732.85 and 284,182.13

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Solution

The fourth proportional to 475,168.74, 655,732.85 and 284,182.13 is: 392,171.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,168.74 : 655,732.85 = 284,182.13 : x
  2. Step 2: Convert to fraction form
    475,168.74/655,732.85 = 284,182.13/x
  3. Step 3: Cross multiply
    475,168.74x = 655,732.85 × 284,182.13
  4. Step 4: Simplify right side
    475,168.74x = 186,347,553,324.40
  5. Step 5: Solve for x
    x = 186,347,553,324.40/475,168.74
  6. Step 6: Final answer
    x = 392,171.32

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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.