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Finding the Fourth Proportional to 287,760.96, 397,115.10 and 160,422.48

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Solution

The fourth proportional to 287,760.96, 397,115.10 and 160,422.48 is: 221,385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,760.96 : 397,115.10 = 160,422.48 : x
  2. Step 2: Convert to fraction form
    287,760.96/397,115.10 = 160,422.48/x
  3. Step 3: Cross multiply
    287,760.96x = 397,115.10 × 160,422.48
  4. Step 4: Simplify right side
    287,760.96x = 63,706,189,187.45
  5. Step 5: Solve for x
    x = 63,706,189,187.45/287,760.96
  6. Step 6: Final answer
    x = 221,385.80

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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.