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Finding the Fourth Proportional to 467,029.60, 700,447.20 and 129,983.20

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Solution

The fourth proportional to 467,029.60, 700,447.20 and 129,983.20 is: 194,947.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,029.60 : 700,447.20 = 129,983.20 : x
  2. Step 2: Convert to fraction form
    467,029.60/700,447.20 = 129,983.20/x
  3. Step 3: Cross multiply
    467,029.60x = 700,447.20 × 129,983.20
  4. Step 4: Simplify right side
    467,029.60x = 91,046,368,487.04
  5. Step 5: Solve for x
    x = 91,046,368,487.04/467,029.60
  6. Step 6: Final answer
    x = 194,947.75

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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.