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Finding the Fourth Proportional to 402,202.80, 603,304.20 and 165,715.20

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Solution

The fourth proportional to 402,202.80, 603,304.20 and 165,715.20 is: 248,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,202.80 : 603,304.20 = 165,715.20 : x
  2. Step 2: Convert to fraction form
    402,202.80/603,304.20 = 165,715.20/x
  3. Step 3: Cross multiply
    402,202.80x = 603,304.20 × 165,715.20
  4. Step 4: Simplify right side
    402,202.80x = 99,976,676,163.84
  5. Step 5: Solve for x
    x = 99,976,676,163.84/402,202.80
  6. Step 6: Final answer
    x = 248,572.80

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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.