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Finding the Fourth Proportional to 287,359.91, 396,541.07 and 158,273.25

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Solution

The fourth proportional to 287,359.91, 396,541.07 and 158,273.25 is: 218,408.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,359.91 : 396,541.07 = 158,273.25 : x
  2. Step 2: Convert to fraction form
    287,359.91/396,541.07 = 158,273.25/x
  3. Step 3: Cross multiply
    287,359.91x = 396,541.07 × 158,273.25
  4. Step 4: Simplify right side
    287,359.91x = 62,761,843,907.38
  5. Step 5: Solve for x
    x = 62,761,843,907.38/287,359.91
  6. Step 6: Final answer
    x = 218,408.49

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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.