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Finding the Fourth Proportional to 287,642.47, 396,949.38 and 158,586.08

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Solution

The fourth proportional to 287,642.47, 396,949.38 and 158,586.08 is: 218,850.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,642.47 : 396,949.38 = 158,586.08 : x
  2. Step 2: Convert to fraction form
    287,642.47/396,949.38 = 158,586.08/x
  3. Step 3: Cross multiply
    287,642.47x = 396,949.38 × 158,586.08
  4. Step 4: Simplify right side
    287,642.47x = 62,950,646,007.68
  5. Step 5: Solve for x
    x = 62,950,646,007.68/287,642.47
  6. Step 6: Final answer
    x = 218,850.32

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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.