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Finding the Fourth Proportional to 420,363.30, 580,115.34 and 229,387.17

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Solution

The fourth proportional to 420,363.30, 580,115.34 and 229,387.17 is: 316,561.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,363.30 : 580,115.34 = 229,387.17 : x
  2. Step 2: Convert to fraction form
    420,363.30/580,115.34 = 229,387.17/x
  3. Step 3: Cross multiply
    420,363.30x = 580,115.34 × 229,387.17
  4. Step 4: Simplify right side
    420,363.30x = 133,071,016,116.19
  5. Step 5: Solve for x
    x = 133,071,016,116.19/420,363.30
  6. Step 6: Final answer
    x = 316,561.93

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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.