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Finding the Fourth Proportional to 512,198.90, 706,873.65 and 282,800.42

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Solution

The fourth proportional to 512,198.90, 706,873.65 and 282,800.42 is: 390,286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,198.90 : 706,873.65 = 282,800.42 : x
  2. Step 2: Convert to fraction form
    512,198.90/706,873.65 = 282,800.42/x
  3. Step 3: Cross multiply
    512,198.90x = 706,873.65 × 282,800.42
  4. Step 4: Simplify right side
    512,198.90x = 199,904,165,106.93
  5. Step 5: Solve for x
    x = 199,904,165,106.93/512,198.90
  6. Step 6: Final answer
    x = 390,286.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.