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Finding the Fourth Proportional to 568,934.40, 853,414.56 and 194,952

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Solution

The fourth proportional to 568,934.40, 853,414.56 and 194,952 is: 292,432.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,934.40 : 853,414.56 = 194,952 : x
  2. Step 2: Convert to fraction form
    568,934.40/853,414.56 = 194,952/x
  3. Step 3: Cross multiply
    568,934.40x = 853,414.56 × 194,952
  4. Step 4: Simplify right side
    568,934.40x = 166,374,875,301.12
  5. Step 5: Solve for x
    x = 166,374,875,301.12/568,934.40
  6. Step 6: Final answer
    x = 292,432.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.