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Finding the Fourth Proportional to 420,358.42, 580,108.62 and 229,382.29

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Solution

The fourth proportional to 420,358.42, 580,108.62 and 229,382.29 is: 316,555.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,358.42 : 580,108.62 = 229,382.29 : x
  2. Step 2: Convert to fraction form
    420,358.42/580,108.62 = 229,382.29/x
  3. Step 3: Cross multiply
    420,358.42x = 580,108.62 × 229,382.29
  4. Step 4: Simplify right side
    420,358.42x = 133,066,645,289.66
  5. Step 5: Solve for x
    x = 133,066,645,289.66/420,358.42
  6. Step 6: Final answer
    x = 316,555.20

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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.