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Finding the Fourth Proportional to 324,188.65, 447,380.85 and 180,948.66

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Solution

The fourth proportional to 324,188.65, 447,380.85 and 180,948.66 is: 249,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,188.65 : 447,380.85 = 180,948.66 : x
  2. Step 2: Convert to fraction form
    324,188.65/447,380.85 = 180,948.66/x
  3. Step 3: Cross multiply
    324,188.65x = 447,380.85 × 180,948.66
  4. Step 4: Simplify right side
    324,188.65x = 80,952,965,317.16
  5. Step 5: Solve for x
    x = 80,952,965,317.16/324,188.65
  6. Step 6: Final answer
    x = 249,709.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.