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Finding the Fourth Proportional to 512,191.22, 706,805.36 and 282,743.58

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Solution

The fourth proportional to 512,191.22, 706,805.36 and 282,743.58 is: 390,175.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,191.22 : 706,805.36 = 282,743.58 : x
  2. Step 2: Convert to fraction form
    512,191.22/706,805.36 = 282,743.58/x
  3. Step 3: Cross multiply
    512,191.22x = 706,805.36 × 282,743.58
  4. Step 4: Simplify right side
    512,191.22x = 199,844,676,435.87
  5. Step 5: Solve for x
    x = 199,844,676,435.87/512,191.22
  6. Step 6: Final answer
    x = 390,175.92

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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.