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Finding the Fourth Proportional to 512,112.76, 706,610.11 and 294,279.36

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Solution

The fourth proportional to 512,112.76, 706,610.11 and 294,279.36 is: 406,044.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,112.76 : 706,610.11 = 294,279.36 : x
  2. Step 2: Convert to fraction form
    512,112.76/706,610.11 = 294,279.36/x
  3. Step 3: Cross multiply
    512,112.76x = 706,610.11 × 294,279.36
  4. Step 4: Simplify right side
    512,112.76x = 207,940,770,940.33
  5. Step 5: Solve for x
    x = 207,940,770,940.33/512,112.76
  6. Step 6: Final answer
    x = 406,044.89

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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.