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Finding the Fourth Proportional to 273,447.20, 410,170.80 and 86,458.70

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Solution

The fourth proportional to 273,447.20, 410,170.80 and 86,458.70 is: 129,688.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,447.20 : 410,170.80 = 86,458.70 : x
  2. Step 2: Convert to fraction form
    273,447.20/410,170.80 = 86,458.70/x
  3. Step 3: Cross multiply
    273,447.20x = 410,170.80 × 86,458.70
  4. Step 4: Simplify right side
    273,447.20x = 35,462,834,145.96
  5. Step 5: Solve for x
    x = 35,462,834,145.96/273,447.20
  6. Step 6: Final answer
    x = 129,688.05

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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.