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Finding the Fourth Proportional to 296,874.56, 445,276.30 and 83,658.47

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Solution

The fourth proportional to 296,874.56, 445,276.30 and 83,658.47 is: 125,477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,874.56 : 445,276.30 = 83,658.47 : x
  2. Step 2: Convert to fraction form
    296,874.56/445,276.30 = 83,658.47/x
  3. Step 3: Cross multiply
    296,874.56x = 445,276.30 × 83,658.47
  4. Step 4: Simplify right side
    296,874.56x = 37,251,131,549.73
  5. Step 5: Solve for x
    x = 37,251,131,549.73/296,874.56
  6. Step 6: Final answer
    x = 125,477.68

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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.