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Finding the Fourth Proportional to 512,934.12, 707,936.98 and 298,198.74

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Solution

The fourth proportional to 512,934.12, 707,936.98 and 298,198.74 is: 411,565.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,934.12 : 707,936.98 = 298,198.74 : x
  2. Step 2: Convert to fraction form
    512,934.12/707,936.98 = 298,198.74/x
  3. Step 3: Cross multiply
    512,934.12x = 707,936.98 × 298,198.74
  4. Step 4: Simplify right side
    512,934.12x = 211,105,910,404.73
  5. Step 5: Solve for x
    x = 211,105,910,404.73/512,934.12
  6. Step 6: Final answer
    x = 411,565.35

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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.