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Finding the Fourth Proportional to 287,438.60, 396,677.52 and 160,114.25

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Solution

The fourth proportional to 287,438.60, 396,677.52 and 160,114.25 is: 220,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,438.60 : 396,677.52 = 160,114.25 : x
  2. Step 2: Convert to fraction form
    287,438.60/396,677.52 = 160,114.25/x
  3. Step 3: Cross multiply
    287,438.60x = 396,677.52 × 160,114.25
  4. Step 4: Simplify right side
    287,438.60x = 63,513,721,623.27
  5. Step 5: Solve for x
    x = 63,513,721,623.27/287,438.60
  6. Step 6: Final answer
    x = 220,964.49

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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.