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Finding the Fourth Proportional to 512,105.67, 706,600.35 and 294,272.28

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Solution

The fourth proportional to 512,105.67, 706,600.35 and 294,272.28 is: 406,035.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,105.67 : 706,600.35 = 294,272.28 : x
  2. Step 2: Convert to fraction form
    512,105.67/706,600.35 = 294,272.28/x
  3. Step 3: Cross multiply
    512,105.67x = 706,600.35 × 294,272.28
  4. Step 4: Simplify right side
    512,105.67x = 207,932,896,043.30
  5. Step 5: Solve for x
    x = 207,932,896,043.30/512,105.67
  6. Step 6: Final answer
    x = 406,035.14

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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.