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Finding the Fourth Proportional to 506,694.96, 699,249.24 and 280,344.24

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Solution

The fourth proportional to 506,694.96, 699,249.24 and 280,344.24 is: 386,880.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,694.96 : 699,249.24 = 280,344.24 : x
  2. Step 2: Convert to fraction form
    506,694.96/699,249.24 = 280,344.24/x
  3. Step 3: Cross multiply
    506,694.96x = 699,249.24 × 280,344.24
  4. Step 4: Simplify right side
    506,694.96x = 196,030,496,758.38
  5. Step 5: Solve for x
    x = 196,030,496,758.38/506,694.96
  6. Step 6: Final answer
    x = 386,880.69

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Double scale
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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.