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Finding the Fourth Proportional to 465,630.80, 698,446.20 and 166,449.20

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Solution

The fourth proportional to 465,630.80, 698,446.20 and 166,449.20 is: 249,673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,630.80 : 698,446.20 = 166,449.20 : x
  2. Step 2: Convert to fraction form
    465,630.80/698,446.20 = 166,449.20/x
  3. Step 3: Cross multiply
    465,630.80x = 698,446.20 × 166,449.20
  4. Step 4: Simplify right side
    465,630.80x = 116,255,811,233.04
  5. Step 5: Solve for x
    x = 116,255,811,233.04/465,630.80
  6. Step 6: Final answer
    x = 249,673.80

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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.