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Finding the Fourth Proportional to 324,002.67, 447,124.98 and 180,768.75

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Solution

The fourth proportional to 324,002.67, 447,124.98 and 180,768.75 is: 249,461.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,002.67 : 447,124.98 = 180,768.75 : x
  2. Step 2: Convert to fraction form
    324,002.67/447,124.98 = 180,768.75/x
  3. Step 3: Cross multiply
    324,002.67x = 447,124.98 × 180,768.75
  4. Step 4: Simplify right side
    324,002.67x = 80,826,223,728.38
  5. Step 5: Solve for x
    x = 80,826,223,728.38/324,002.67
  6. Step 6: Final answer
    x = 249,461.60

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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.