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Finding the Fourth Proportional to 507,221.28, 699,956.76 and 280,861.92

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Solution

The fourth proportional to 507,221.28, 699,956.76 and 280,861.92 is: 387,584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,221.28 : 699,956.76 = 280,861.92 : x
  2. Step 2: Convert to fraction form
    507,221.28/699,956.76 = 280,861.92/x
  3. Step 3: Cross multiply
    507,221.28x = 699,956.76 × 280,861.92
  4. Step 4: Simplify right side
    507,221.28x = 196,591,199,530.58
  5. Step 5: Solve for x
    x = 196,591,199,530.58/507,221.28
  6. Step 6: Final answer
    x = 387,584.68

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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.