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Finding the Fourth Proportional to 376,951.52, 520,197.12 and 204,869.52

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Solution

The fourth proportional to 376,951.52, 520,197.12 and 204,869.52 is: 282,722.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,951.52 : 520,197.12 = 204,869.52 : x
  2. Step 2: Convert to fraction form
    376,951.52/520,197.12 = 204,869.52/x
  3. Step 3: Cross multiply
    376,951.52x = 520,197.12 × 204,869.52
  4. Step 4: Simplify right side
    376,951.52x = 106,572,534,279.78
  5. Step 5: Solve for x
    x = 106,572,534,279.78/376,951.52
  6. Step 6: Final answer
    x = 282,722.12

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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.