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Finding the Fourth Proportional to 287,520.76, 396,781.34 and 158,463.96

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Solution

The fourth proportional to 287,520.76, 396,781.34 and 158,463.96 is: 218,681.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,520.76 : 396,781.34 = 158,463.96 : x
  2. Step 2: Convert to fraction form
    287,520.76/396,781.34 = 158,463.96/x
  3. Step 3: Cross multiply
    287,520.76x = 396,781.34 × 158,463.96
  4. Step 4: Simplify right side
    287,520.76x = 62,875,541,598.19
  5. Step 5: Solve for x
    x = 62,875,541,598.19/287,520.76
  6. Step 6: Final answer
    x = 218,681.75

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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.