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Finding the Fourth Proportional to 285,945.59, 428,921.46 and 86,267.72

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Solution

The fourth proportional to 285,945.59, 428,921.46 and 86,267.72 is: 129,402.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,945.59 : 428,921.46 = 86,267.72 : x
  2. Step 2: Convert to fraction form
    285,945.59/428,921.46 = 86,267.72/x
  3. Step 3: Cross multiply
    285,945.59x = 428,921.46 × 86,267.72
  4. Step 4: Simplify right side
    285,945.59x = 37,002,074,268.66
  5. Step 5: Solve for x
    x = 37,002,074,268.66/285,945.59
  6. Step 6: Final answer
    x = 129,402.50

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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.