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Finding the Fourth Proportional to 512,319.75, 707,001.66 and 285,965.25

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Solution

The fourth proportional to 512,319.75, 707,001.66 and 285,965.25 is: 394,632.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,319.75 : 707,001.66 = 285,965.25 : x
  2. Step 2: Convert to fraction form
    512,319.75/707,001.66 = 285,965.25/x
  3. Step 3: Cross multiply
    512,319.75x = 707,001.66 × 285,965.25
  4. Step 4: Simplify right side
    512,319.75x = 202,177,906,452.32
  5. Step 5: Solve for x
    x = 202,177,906,452.32/512,319.75
  6. Step 6: Final answer
    x = 394,632.27

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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.