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Finding the Fourth Proportional to 512,175.88, 706,798.68 and 297,335.92

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Solution

The fourth proportional to 512,175.88, 706,798.68 and 297,335.92 is: 410,321.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,175.88 : 706,798.68 = 297,335.92 : x
  2. Step 2: Convert to fraction form
    512,175.88/706,798.68 = 297,335.92/x
  3. Step 3: Cross multiply
    512,175.88x = 706,798.68 × 297,335.92
  4. Step 4: Simplify right side
    512,175.88x = 210,156,635,772.59
  5. Step 5: Solve for x
    x = 210,156,635,772.59/512,175.88
  6. Step 6: Final answer
    x = 410,321.23

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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.