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Finding the Fourth Proportional to 402,380.60, 603,352.20 and 165,747.20

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Solution

The fourth proportional to 402,380.60, 603,352.20 and 165,747.20 is: 248,530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,380.60 : 603,352.20 = 165,747.20 : x
  2. Step 2: Convert to fraction form
    402,380.60/603,352.20 = 165,747.20/x
  3. Step 3: Cross multiply
    402,380.60x = 603,352.20 × 165,747.20
  4. Step 4: Simplify right side
    402,380.60x = 100,003,937,763.84
  5. Step 5: Solve for x
    x = 100,003,937,763.84/402,380.60
  6. Step 6: Final answer
    x = 248,530.71

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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.