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Finding the Fourth Proportional to 567,842.67, 852,142.78 and 294,540.76

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Solution

The fourth proportional to 567,842.67, 852,142.78 and 294,540.76 is: 442,007.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,842.67 : 852,142.78 = 294,540.76 : x
  2. Step 2: Convert to fraction form
    567,842.67/852,142.78 = 294,540.76/x
  3. Step 3: Cross multiply
    567,842.67x = 852,142.78 × 294,540.76
  4. Step 4: Simplify right side
    567,842.67x = 250,990,780,287.53
  5. Step 5: Solve for x
    x = 250,990,780,287.53/567,842.67
  6. Step 6: Final answer
    x = 442,007.61

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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.