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Finding the Fourth Proportional to 420,701.49, 580,565.75 and 229,713.53

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Solution

The fourth proportional to 420,701.49, 580,565.75 and 229,713.53 is: 317,003.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,701.49 : 580,565.75 = 229,713.53 : x
  2. Step 2: Convert to fraction form
    420,701.49/580,565.75 = 229,713.53/x
  3. Step 3: Cross multiply
    420,701.49x = 580,565.75 × 229,713.53
  4. Step 4: Simplify right side
    420,701.49x = 133,363,803,778.20
  5. Step 5: Solve for x
    x = 133,363,803,778.20/420,701.49
  6. Step 6: Final answer
    x = 317,003.40

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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.