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Finding the Fourth Proportional to 285,984.21, 428,979.38 and 86,306.39

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Solution

The fourth proportional to 285,984.21, 428,979.38 and 86,306.39 is: 129,460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,984.21 : 428,979.38 = 86,306.39 : x
  2. Step 2: Convert to fraction form
    285,984.21/428,979.38 = 86,306.39/x
  3. Step 3: Cross multiply
    285,984.21x = 428,979.38 × 86,306.39
  4. Step 4: Simplify right side
    285,984.21x = 37,023,659,095.81
  5. Step 5: Solve for x
    x = 37,023,659,095.81/285,984.21
  6. Step 6: Final answer
    x = 129,460.50

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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.