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Finding the Fourth Proportional to 471,549.60, 707,443.74 and 134,591.76

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Solution

The fourth proportional to 471,549.60, 707,443.74 and 134,591.76 is: 201,921.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,549.60 : 707,443.74 = 134,591.76 : x
  2. Step 2: Convert to fraction form
    471,549.60/707,443.74 = 134,591.76/x
  3. Step 3: Cross multiply
    471,549.60x = 707,443.74 × 134,591.76
  4. Step 4: Simplify right side
    471,549.60x = 95,216,098,067.58
  5. Step 5: Solve for x
    x = 95,216,098,067.58/471,549.60
  6. Step 6: Final answer
    x = 201,921.70

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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.