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Finding the Fourth Proportional to 287,685.90, 396,998.28 and 160,358.76

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Solution

The fourth proportional to 287,685.90, 396,998.28 and 160,358.76 is: 221,290.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,685.90 : 396,998.28 = 160,358.76 : x
  2. Step 2: Convert to fraction form
    287,685.90/396,998.28 = 160,358.76/x
  3. Step 3: Cross multiply
    287,685.90x = 396,998.28 × 160,358.76
  4. Step 4: Simplify right side
    287,685.90x = 63,662,151,902.93
  5. Step 5: Solve for x
    x = 63,662,151,902.93/287,685.90
  6. Step 6: Final answer
    x = 221,290.48

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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.