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Finding the Fourth Proportional to 506,790.28, 699,376.80 and 280,456.84

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Solution

The fourth proportional to 506,790.28, 699,376.80 and 280,456.84 is: 387,033.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,790.28 : 699,376.80 = 280,456.84 : x
  2. Step 2: Convert to fraction form
    506,790.28/699,376.80 = 280,456.84/x
  3. Step 3: Cross multiply
    506,790.28x = 699,376.80 × 280,456.84
  4. Step 4: Simplify right side
    506,790.28x = 196,145,006,600.58
  5. Step 5: Solve for x
    x = 196,145,006,600.58/506,790.28
  6. Step 6: Final answer
    x = 387,033.88

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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.