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Finding the Fourth Proportional to 420,612.72, 580,454.32 and 229,634.16

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Solution

The fourth proportional to 420,612.72, 580,454.32 and 229,634.16 is: 316,899.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,612.72 : 580,454.32 = 229,634.16 : x
  2. Step 2: Convert to fraction form
    420,612.72/580,454.32 = 229,634.16/x
  3. Step 3: Cross multiply
    420,612.72x = 580,454.32 × 229,634.16
  4. Step 4: Simplify right side
    420,612.72x = 133,292,140,191.57
  5. Step 5: Solve for x
    x = 133,292,140,191.57/420,612.72
  6. Step 6: Final answer
    x = 316,899.93

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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.