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Finding the Fourth Proportional to 296,447.40, 444,728.70 and 86,092.20

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Solution

The fourth proportional to 296,447.40, 444,728.70 and 86,092.20 is: 129,155.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,447.40 : 444,728.70 = 86,092.20 : x
  2. Step 2: Convert to fraction form
    296,447.40/444,728.70 = 86,092.20/x
  3. Step 3: Cross multiply
    296,447.40x = 444,728.70 × 86,092.20
  4. Step 4: Simplify right side
    296,447.40x = 38,287,672,186.14
  5. Step 5: Solve for x
    x = 38,287,672,186.14/296,447.40
  6. Step 6: Final answer
    x = 129,155.03

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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.