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Finding the Fourth Proportional to 577,842.72, 866,786.76 and 178,447.92

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Solution

The fourth proportional to 577,842.72, 866,786.76 and 178,447.92 is: 267,678.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,842.72 : 866,786.76 = 178,447.92 : x
  2. Step 2: Convert to fraction form
    577,842.72/866,786.76 = 178,447.92/x
  3. Step 3: Cross multiply
    577,842.72x = 866,786.76 × 178,447.92
  4. Step 4: Simplify right side
    577,842.72x = 154,676,294,405.54
  5. Step 5: Solve for x
    x = 154,676,294,405.54/577,842.72
  6. Step 6: Final answer
    x = 267,678.88

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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.