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Finding the Fourth Proportional to 400,754.49, 601,082.14 and 148,029.38

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Solution

The fourth proportional to 400,754.49, 601,082.14 and 148,029.38 is: 222,025.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,754.49 : 601,082.14 = 148,029.38 : x
  2. Step 2: Convert to fraction form
    400,754.49/601,082.14 = 148,029.38/x
  3. Step 3: Cross multiply
    400,754.49x = 601,082.14 × 148,029.38
  4. Step 4: Simplify right side
    400,754.49x = 88,977,815,773.13
  5. Step 5: Solve for x
    x = 88,977,815,773.13/400,754.49
  6. Step 6: Final answer
    x = 222,025.75

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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.