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Finding the Fourth Proportional to 512,220.61, 706,845.88 and 282,772.97

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Solution

The fourth proportional to 512,220.61, 706,845.88 and 282,772.97 is: 390,216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,220.61 : 706,845.88 = 282,772.97 : x
  2. Step 2: Convert to fraction form
    512,220.61/706,845.88 = 282,772.97/x
  3. Step 3: Cross multiply
    512,220.61x = 706,845.88 × 282,772.97
  4. Step 4: Simplify right side
    512,220.61x = 199,876,908,819.86
  5. Step 5: Solve for x
    x = 199,876,908,819.86/512,220.61
  6. Step 6: Final answer
    x = 390,216.45

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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.