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Finding the Fourth Proportional to 462,964.80, 694,677.60 and 182,491.20

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Solution

The fourth proportional to 462,964.80, 694,677.60 and 182,491.20 is: 273,827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,964.80 : 694,677.60 = 182,491.20 : x
  2. Step 2: Convert to fraction form
    462,964.80/694,677.60 = 182,491.20/x
  3. Step 3: Cross multiply
    462,964.80x = 694,677.60 × 182,491.20
  4. Step 4: Simplify right side
    462,964.80x = 126,772,548,837.12
  5. Step 5: Solve for x
    x = 126,772,548,837.12/462,964.80
  6. Step 6: Final answer
    x = 273,827.62

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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.