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Finding the Fourth Proportional to 287,780.80, 397,141.92 and 160,452.16

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Solution

The fourth proportional to 287,780.80, 397,141.92 and 160,452.16 is: 221,426.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,780.80 : 397,141.92 = 160,452.16 : x
  2. Step 2: Convert to fraction form
    287,780.80/397,141.92 = 160,452.16/x
  3. Step 3: Cross multiply
    287,780.80x = 397,141.92 × 160,452.16
  4. Step 4: Simplify right side
    287,780.80x = 63,722,278,890.55
  5. Step 5: Solve for x
    x = 63,722,278,890.55/287,780.80
  6. Step 6: Final answer
    x = 221,426.44

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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.