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Finding the Fourth Proportional to 506,772.56, 699,317.16 and 280,404.56

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Solution

The fourth proportional to 506,772.56, 699,317.16 and 280,404.56 is: 386,942.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,772.56 : 699,317.16 = 280,404.56 : x
  2. Step 2: Convert to fraction form
    506,772.56/699,317.16 = 280,404.56/x
  3. Step 3: Cross multiply
    506,772.56x = 699,317.16 × 280,404.56
  4. Step 4: Simplify right side
    506,772.56x = 196,091,720,550.25
  5. Step 5: Solve for x
    x = 196,091,720,550.25/506,772.56
  6. Step 6: Final answer
    x = 386,942.26

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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.