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Finding the Fourth Proportional to 420,358.80, 580,109.13 and 229,382.67

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Solution

The fourth proportional to 420,358.80, 580,109.13 and 229,382.67 is: 316,555.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,358.80 : 580,109.13 = 229,382.67 : x
  2. Step 2: Convert to fraction form
    420,358.80/580,109.13 = 229,382.67/x
  3. Step 3: Cross multiply
    420,358.80x = 580,109.13 × 229,382.67
  4. Step 4: Simplify right side
    420,358.80x = 133,066,981,130.78
  5. Step 5: Solve for x
    x = 133,066,981,130.78/420,358.80
  6. Step 6: Final answer
    x = 316,555.72

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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.