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Finding the Fourth Proportional to 296,443.39, 444,585.96 and 83,198.74

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Solution

The fourth proportional to 296,443.39, 444,585.96 and 83,198.74 is: 124,775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,443.39 : 444,585.96 = 83,198.74 : x
  2. Step 2: Convert to fraction form
    296,443.39/444,585.96 = 83,198.74/x
  3. Step 3: Cross multiply
    296,443.39x = 444,585.96 × 83,198.74
  4. Step 4: Simplify right side
    296,443.39x = 36,988,991,693.69
  5. Step 5: Solve for x
    x = 36,988,991,693.69/296,443.39
  6. Step 6: Final answer
    x = 124,775.90

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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.