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Finding the Fourth Proportional to 454,345.31, 681,599.02 and 150,757.71

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Solution

The fourth proportional to 454,345.31, 681,599.02 and 150,757.71 is: 226,163.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,345.31 : 681,599.02 = 150,757.71 : x
  2. Step 2: Convert to fraction form
    454,345.31/681,599.02 = 150,757.71/x
  3. Step 3: Cross multiply
    454,345.31x = 681,599.02 × 150,757.71
  4. Step 4: Simplify right side
    454,345.31x = 102,756,308,577.22
  5. Step 5: Solve for x
    x = 102,756,308,577.22/454,345.31
  6. Step 6: Final answer
    x = 226,163.46

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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.