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Finding the Fourth Proportional to 287,627.38, 396,927.75 and 160,311.17

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Solution

The fourth proportional to 287,627.38, 396,927.75 and 160,311.17 is: 221,230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,627.38 : 396,927.75 = 160,311.17 : x
  2. Step 2: Convert to fraction form
    287,627.38/396,927.75 = 160,311.17/x
  3. Step 3: Cross multiply
    287,627.38x = 396,927.75 × 160,311.17
  4. Step 4: Simplify right side
    287,627.38x = 63,631,952,007.97
  5. Step 5: Solve for x
    x = 63,631,952,007.97/287,627.38
  6. Step 6: Final answer
    x = 221,230.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.