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Finding the Fourth Proportional to 512,220.11, 706,845.20 and 282,772.47

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Solution

The fourth proportional to 512,220.11, 706,845.20 and 282,772.47 is: 390,215.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,220.11 : 706,845.20 = 282,772.47 : x
  2. Step 2: Convert to fraction form
    512,220.11/706,845.20 = 282,772.47/x
  3. Step 3: Cross multiply
    512,220.11x = 706,845.20 × 282,772.47
  4. Step 4: Simplify right side
    512,220.11x = 199,876,361,697.78
  5. Step 5: Solve for x
    x = 199,876,361,697.78/512,220.11
  6. Step 6: Final answer
    x = 390,215.77

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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.