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Finding the Fourth Proportional to 287,335.29, 396,507.17 and 158,269.49

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Solution

The fourth proportional to 287,335.29, 396,507.17 and 158,269.49 is: 218,403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,335.29 : 396,507.17 = 158,269.49 : x
  2. Step 2: Convert to fraction form
    287,335.29/396,507.17 = 158,269.49/x
  3. Step 3: Cross multiply
    287,335.29x = 396,507.17 × 158,269.49
  4. Step 4: Simplify right side
    287,335.29x = 62,754,985,990.38
  5. Step 5: Solve for x
    x = 62,754,985,990.38/287,335.29
  6. Step 6: Final answer
    x = 218,403.34

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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.