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Finding the Fourth Proportional to 402,398.80, 603,214.20 and 149,611.60

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Solution

The fourth proportional to 402,398.80, 603,214.20 and 149,611.60 is: 224,274.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,398.80 : 603,214.20 = 149,611.60 : x
  2. Step 2: Convert to fraction form
    402,398.80/603,214.20 = 149,611.60/x
  3. Step 3: Cross multiply
    402,398.80x = 603,214.20 × 149,611.60
  4. Step 4: Simplify right side
    402,398.80x = 90,247,841,604.72
  5. Step 5: Solve for x
    x = 90,247,841,604.72/402,398.80
  6. Step 6: Final answer
    x = 224,274.63

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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.