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Finding the Fourth Proportional to 420,392.90, 580,154.54 and 229,418.61

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Solution

The fourth proportional to 420,392.90, 580,154.54 and 229,418.61 is: 316,604.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,392.90 : 580,154.54 = 229,418.61 : x
  2. Step 2: Convert to fraction form
    420,392.90/580,154.54 = 229,418.61/x
  3. Step 3: Cross multiply
    420,392.90x = 580,154.54 × 229,418.61
  4. Step 4: Simplify right side
    420,392.90x = 133,098,247,004.90
  5. Step 5: Solve for x
    x = 133,098,247,004.90/420,392.90
  6. Step 6: Final answer
    x = 316,604.42

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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.