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Finding the Fourth Proportional to 287,626.38, 396,926.37 and 160,310.17

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Solution

The fourth proportional to 287,626.38, 396,926.37 and 160,310.17 is: 221,229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,626.38 : 396,926.37 = 160,310.17 : x
  2. Step 2: Convert to fraction form
    287,626.38/396,926.37 = 160,310.17/x
  3. Step 3: Cross multiply
    287,626.38x = 396,926.37 × 160,310.17
  4. Step 4: Simplify right side
    287,626.38x = 63,631,333,050.63
  5. Step 5: Solve for x
    x = 63,631,333,050.63/287,626.38
  6. Step 6: Final answer
    x = 221,229.13

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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.