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Finding the Fourth Proportional to 462,941.80, 694,643.10 and 182,468.20

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Solution

The fourth proportional to 462,941.80, 694,643.10 and 182,468.20 is: 273,793.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,941.80 : 694,643.10 = 182,468.20 : x
  2. Step 2: Convert to fraction form
    462,941.80/694,643.10 = 182,468.20/x
  3. Step 3: Cross multiply
    462,941.80x = 694,643.10 × 182,468.20
  4. Step 4: Simplify right side
    462,941.80x = 126,750,276,099.42
  5. Step 5: Solve for x
    x = 126,750,276,099.42/462,941.80
  6. Step 6: Final answer
    x = 273,793.11

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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.