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Finding the Fourth Proportional to 285,505.70, 428,258.55 and 85,856.90

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Solution

The fourth proportional to 285,505.70, 428,258.55 and 85,856.90 is: 128,785.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,505.70 : 428,258.55 = 85,856.90 : x
  2. Step 2: Convert to fraction form
    285,505.70/428,258.55 = 85,856.90/x
  3. Step 3: Cross multiply
    285,505.70x = 428,258.55 × 85,856.90
  4. Step 4: Simplify right side
    285,505.70x = 36,768,951,501.50
  5. Step 5: Solve for x
    x = 36,768,951,501.50/285,505.70
  6. Step 6: Final answer
    x = 128,785.35

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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.