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Finding the Fourth Proportional to 287,248.78, 396,415.62 and 159,924.38

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Solution

The fourth proportional to 287,248.78, 396,415.62 and 159,924.38 is: 220,702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,248.78 : 396,415.62 = 159,924.38 : x
  2. Step 2: Convert to fraction form
    287,248.78/396,415.62 = 159,924.38/x
  3. Step 3: Cross multiply
    287,248.78x = 396,415.62 × 159,924.38
  4. Step 4: Simplify right side
    287,248.78x = 63,396,520,268.74
  5. Step 5: Solve for x
    x = 63,396,520,268.74/287,248.78
  6. Step 6: Final answer
    x = 220,702.49

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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.