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Finding the Fourth Proportional to 458,537.88, 687,815.04 and 159,029.04

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Solution

The fourth proportional to 458,537.88, 687,815.04 and 159,029.04 is: 238,546.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,537.88 : 687,815.04 = 159,029.04 : x
  2. Step 2: Convert to fraction form
    458,537.88/687,815.04 = 159,029.04/x
  3. Step 3: Cross multiply
    458,537.88x = 687,815.04 × 159,029.04
  4. Step 4: Simplify right side
    458,537.88x = 109,382,565,508.76
  5. Step 5: Solve for x
    x = 109,382,565,508.76/458,537.88
  6. Step 6: Final answer
    x = 238,546.41

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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.