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Finding the Fourth Proportional to 420,356.27, 580,105.65 and 229,380.14

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Solution

The fourth proportional to 420,356.27, 580,105.65 and 229,380.14 is: 316,552.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,356.27 : 580,105.65 = 229,380.14 : x
  2. Step 2: Convert to fraction form
    420,356.27/580,105.65 = 229,380.14/x
  3. Step 3: Cross multiply
    420,356.27x = 580,105.65 × 229,380.14
  4. Step 4: Simplify right side
    420,356.27x = 133,064,712,311.26
  5. Step 5: Solve for x
    x = 133,064,712,311.26/420,356.27
  6. Step 6: Final answer
    x = 316,552.23

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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.