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Finding the Fourth Proportional to 512,168.97, 706,793.34 and 282,726.42

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Solution

The fourth proportional to 512,168.97, 706,793.34 and 282,726.42 is: 390,162.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,168.97 : 706,793.34 = 282,726.42 : x
  2. Step 2: Convert to fraction form
    512,168.97/706,793.34 = 282,726.42/x
  3. Step 3: Cross multiply
    512,168.97x = 706,793.34 × 282,726.42
  4. Step 4: Simplify right side
    512,168.97x = 199,829,150,698.04
  5. Step 5: Solve for x
    x = 199,829,150,698.04/512,168.97
  6. Step 6: Final answer
    x = 390,162.55

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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.