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Finding the Fourth Proportional to 278,301.60, 417,452.40 and 100,814.40

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Solution

The fourth proportional to 278,301.60, 417,452.40 and 100,814.40 is: 151,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,301.60 : 417,452.40 = 100,814.40 : x
  2. Step 2: Convert to fraction form
    278,301.60/417,452.40 = 100,814.40/x
  3. Step 3: Cross multiply
    278,301.60x = 417,452.40 × 100,814.40
  4. Step 4: Simplify right side
    278,301.60x = 42,085,213,234.56
  5. Step 5: Solve for x
    x = 42,085,213,234.56/278,301.60
  6. Step 6: Final answer
    x = 151,221.60

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1.5x scale

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.