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Finding the Fourth Proportional to 447,098.67, 670,648.17 and 110,145.87

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Solution

The fourth proportional to 447,098.67, 670,648.17 and 110,145.87 is: 165,218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,098.67 : 670,648.17 = 110,145.87 : x
  2. Step 2: Convert to fraction form
    447,098.67/670,648.17 = 110,145.87/x
  3. Step 3: Cross multiply
    447,098.67x = 670,648.17 × 110,145.87
  4. Step 4: Simplify right side
    447,098.67x = 73,869,124,046.67
  5. Step 5: Solve for x
    x = 73,869,124,046.67/447,098.67
  6. Step 6: Final answer
    x = 165,218.84

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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.