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Finding the Fourth Proportional to 475,658.57, 656,429.33 and 284,635.19

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Solution

The fourth proportional to 475,658.57, 656,429.33 and 284,635.19 is: 392,808.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,658.57 : 656,429.33 = 284,635.19 : x
  2. Step 2: Convert to fraction form
    475,658.57/656,429.33 = 284,635.19/x
  3. Step 3: Cross multiply
    475,658.57x = 656,429.33 × 284,635.19
  4. Step 4: Simplify right side
    475,658.57x = 186,842,887,066.12
  5. Step 5: Solve for x
    x = 186,842,887,066.12/475,658.57
  6. Step 6: Final answer
    x = 392,808.83

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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.