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Finding the Fourth Proportional to 447,894.28, 671,936.19 and 148,357.90

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Solution

The fourth proportional to 447,894.28, 671,936.19 and 148,357.90 is: 222,568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,894.28 : 671,936.19 = 148,357.90 : x
  2. Step 2: Convert to fraction form
    447,894.28/671,936.19 = 148,357.90/x
  3. Step 3: Cross multiply
    447,894.28x = 671,936.19 × 148,357.90
  4. Step 4: Simplify right side
    447,894.28x = 99,687,042,082.40
  5. Step 5: Solve for x
    x = 99,687,042,082.40/447,894.28
  6. Step 6: Final answer
    x = 222,568.24

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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.