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Finding the Fourth Proportional to 482,891.58, 724,406.49 and 150,493.50

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Solution

The fourth proportional to 482,891.58, 724,406.49 and 150,493.50 is: 225,761.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,891.58 : 724,406.49 = 150,493.50 : x
  2. Step 2: Convert to fraction form
    482,891.58/724,406.49 = 150,493.50/x
  3. Step 3: Cross multiply
    482,891.58x = 724,406.49 × 150,493.50
  4. Step 4: Simplify right side
    482,891.58x = 109,018,468,102.82
  5. Step 5: Solve for x
    x = 109,018,468,102.82/482,891.58
  6. Step 6: Final answer
    x = 225,761.79

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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.