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Finding the Fourth Proportional to 442,108.71, 662,608.44 and 189,092.25

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Solution

The fourth proportional to 442,108.71, 662,608.44 and 189,092.25 is: 283,401.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,108.71 : 662,608.44 = 189,092.25 : x
  2. Step 2: Convert to fraction form
    442,108.71/662,608.44 = 189,092.25/x
  3. Step 3: Cross multiply
    442,108.71x = 662,608.44 × 189,092.25
  4. Step 4: Simplify right side
    442,108.71x = 125,294,120,788.59
  5. Step 5: Solve for x
    x = 125,294,120,788.59/442,108.71
  6. Step 6: Final answer
    x = 283,401.16

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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.