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Finding the Fourth Proportional to 283,772.85, 391,609.23 and 156,453

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Solution

The fourth proportional to 283,772.85, 391,609.23 and 156,453 is: 215,906.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,772.85 : 391,609.23 = 156,453 : x
  2. Step 2: Convert to fraction form
    283,772.85/391,609.23 = 156,453/x
  3. Step 3: Cross multiply
    283,772.85x = 391,609.23 × 156,453
  4. Step 4: Simplify right side
    283,772.85x = 61,268,438,861.19
  5. Step 5: Solve for x
    x = 61,268,438,861.19/283,772.85
  6. Step 6: Final answer
    x = 215,906.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.