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Finding the Fourth Proportional to 301,591.24, 451,697.65 and 143,930.41

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Solution

The fourth proportional to 301,591.24, 451,697.65 and 143,930.41 is: 215,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,591.24 : 451,697.65 = 143,930.41 : x
  2. Step 2: Convert to fraction form
    301,591.24/451,697.65 = 143,930.41/x
  3. Step 3: Cross multiply
    301,591.24x = 451,697.65 × 143,930.41
  4. Step 4: Simplify right side
    301,591.24x = 65,013,026,471.47
  5. Step 5: Solve for x
    x = 65,013,026,471.47/301,591.24
  6. Step 6: Final answer
    x = 215,566.70

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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.