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Finding the Fourth Proportional to 512,198.88, 706,815.90 and 282,751.20

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Solution

The fourth proportional to 512,198.88, 706,815.90 and 282,751.20 is: 390,186.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,198.88 : 706,815.90 = 282,751.20 : x
  2. Step 2: Convert to fraction form
    512,198.88/706,815.90 = 282,751.20/x
  3. Step 3: Cross multiply
    512,198.88x = 706,815.90 × 282,751.20
  4. Step 4: Simplify right side
    512,198.88x = 199,853,043,904.08
  5. Step 5: Solve for x
    x = 199,853,043,904.08/512,198.88
  6. Step 6: Final answer
    x = 390,186.41

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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.