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Finding the Fourth Proportional to 361,993.24, 542,707.98 and 172,356.04

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Solution

The fourth proportional to 361,993.24, 542,707.98 and 172,356.04 is: 258,399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,993.24 : 542,707.98 = 172,356.04 : x
  2. Step 2: Convert to fraction form
    361,993.24/542,707.98 = 172,356.04/x
  3. Step 3: Cross multiply
    361,993.24x = 542,707.98 × 172,356.04
  4. Step 4: Simplify right side
    361,993.24x = 93,538,998,309.20
  5. Step 5: Solve for x
    x = 93,538,998,309.20/361,993.24
  6. Step 6: Final answer
    x = 258,399.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.