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Finding the Fourth Proportional to 408,675.24, 613,294.74 and 142,437.96

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Solution

The fourth proportional to 408,675.24, 613,294.74 and 142,437.96 is: 213,755.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,675.24 : 613,294.74 = 142,437.96 : x
  2. Step 2: Convert to fraction form
    408,675.24/613,294.74 = 142,437.96/x
  3. Step 3: Cross multiply
    408,675.24x = 613,294.74 × 142,437.96
  4. Step 4: Simplify right side
    408,675.24x = 87,356,451,644.33
  5. Step 5: Solve for x
    x = 87,356,451,644.33/408,675.24
  6. Step 6: Final answer
    x = 213,755.19

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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.