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Finding the Fourth Proportional to 568,978.76, 853,280.53 and 189,795

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Solution

The fourth proportional to 568,978.76, 853,280.53 and 189,795 is: 284,629.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,978.76 : 853,280.53 = 189,795 : x
  2. Step 2: Convert to fraction form
    568,978.76/853,280.53 = 189,795/x
  3. Step 3: Cross multiply
    568,978.76x = 853,280.53 × 189,795
  4. Step 4: Simplify right side
    568,978.76x = 161,948,378,191.35
  5. Step 5: Solve for x
    x = 161,948,378,191.35/568,978.76
  6. Step 6: Final answer
    x = 284,629.92

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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.