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Finding the Fourth Proportional to 506,060.38, 697,798.23 and 413,892.70

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Solution

The fourth proportional to 506,060.38, 697,798.23 and 413,892.70 is: 570,709.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,060.38 : 697,798.23 = 413,892.70 : x
  2. Step 2: Convert to fraction form
    506,060.38/697,798.23 = 413,892.70/x
  3. Step 3: Cross multiply
    506,060.38x = 697,798.23 × 413,892.70
  4. Step 4: Simplify right side
    506,060.38x = 288,813,593,469.92
  5. Step 5: Solve for x
    x = 288,813,593,469.92/506,060.38
  6. Step 6: Final answer
    x = 570,709.75

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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.