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Finding the Fourth Proportional to 442,115.41, 662,618.26 and 189,098.41

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Solution

The fourth proportional to 442,115.41, 662,618.26 and 189,098.41 is: 283,410.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,115.41 : 662,618.26 = 189,098.41 : x
  2. Step 2: Convert to fraction form
    442,115.41/662,618.26 = 189,098.41/x
  3. Step 3: Cross multiply
    442,115.41x = 662,618.26 × 189,098.41
  4. Step 4: Simplify right side
    442,115.41x = 125,300,059,402.97
  5. Step 5: Solve for x
    x = 125,300,059,402.97/442,115.41
  6. Step 6: Final answer
    x = 283,410.30

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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.