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Finding the Fourth Proportional to 420,358.67, 580,108.97 and 229,382.54

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Solution

The fourth proportional to 420,358.67, 580,108.97 and 229,382.54 is: 316,555.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,358.67 : 580,108.97 = 229,382.54 : x
  2. Step 2: Convert to fraction form
    420,358.67/580,108.97 = 229,382.54/x
  3. Step 3: Cross multiply
    420,358.67x = 580,108.97 × 229,382.54
  4. Step 4: Simplify right side
    420,358.67x = 133,066,869,453.79
  5. Step 5: Solve for x
    x = 133,066,869,453.79/420,358.67
  6. Step 6: Final answer
    x = 316,555.55

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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.