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Finding the Fourth Proportional to 296,642.60, 444,920.70 and 86,258.60

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Solution

The fourth proportional to 296,642.60, 444,920.70 and 86,258.60 is: 129,375.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,642.60 : 444,920.70 = 86,258.60 : x
  2. Step 2: Convert to fraction form
    296,642.60/444,920.70 = 86,258.60/x
  3. Step 3: Cross multiply
    296,642.60x = 444,920.70 × 86,258.60
  4. Step 4: Simplify right side
    296,642.60x = 38,378,236,693.02
  5. Step 5: Solve for x
    x = 38,378,236,693.02/296,642.60
  6. Step 6: Final answer
    x = 129,375.34

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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.