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Finding the Fourth Proportional to 280,231.20, 420,346.80 and 231,023.70

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Solution

The fourth proportional to 280,231.20, 420,346.80 and 231,023.70 is: 346,535.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,231.20 : 420,346.80 = 231,023.70 : x
  2. Step 2: Convert to fraction form
    280,231.20/420,346.80 = 231,023.70/x
  3. Step 3: Cross multiply
    280,231.20x = 420,346.80 × 231,023.70
  4. Step 4: Simplify right side
    280,231.20x = 97,110,073,019.16
  5. Step 5: Solve for x
    x = 97,110,073,019.16/280,231.20
  6. Step 6: Final answer
    x = 346,535.55

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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.