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Finding the Fourth Proportional to 382,122.78, 527,340.15 and 220,962.30

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Solution

The fourth proportional to 382,122.78, 527,340.15 and 220,962.30 is: 304,934.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,122.78 : 527,340.15 = 220,962.30 : x
  2. Step 2: Convert to fraction form
    382,122.78/527,340.15 = 220,962.30/x
  3. Step 3: Cross multiply
    382,122.78x = 527,340.15 × 220,962.30
  4. Step 4: Simplify right side
    382,122.78x = 116,522,292,426.35
  5. Step 5: Solve for x
    x = 116,522,292,426.35/382,122.78
  6. Step 6: Final answer
    x = 304,934.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.