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Finding the Fourth Proportional to 285,464.70, 428,197.05 and 85,815.90

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Solution

The fourth proportional to 285,464.70, 428,197.05 and 85,815.90 is: 128,723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,464.70 : 428,197.05 = 85,815.90 : x
  2. Step 2: Convert to fraction form
    285,464.70/428,197.05 = 85,815.90/x
  3. Step 3: Cross multiply
    285,464.70x = 428,197.05 × 85,815.90
  4. Step 4: Simplify right side
    285,464.70x = 36,746,115,223.10
  5. Step 5: Solve for x
    x = 36,746,115,223.10/285,464.70
  6. Step 6: Final answer
    x = 128,723.85

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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.