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Finding the Fourth Proportional to 413,543.40, 620,255.16 and 133,024.20

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Solution

The fourth proportional to 413,543.40, 620,255.16 and 133,024.20 is: 199,517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,543.40 : 620,255.16 = 133,024.20 : x
  2. Step 2: Convert to fraction form
    413,543.40/620,255.16 = 133,024.20/x
  3. Step 3: Cross multiply
    413,543.40x = 620,255.16 × 133,024.20
  4. Step 4: Simplify right side
    413,543.40x = 82,508,946,454.87
  5. Step 5: Solve for x
    x = 82,508,946,454.87/413,543.40
  6. Step 6: Final answer
    x = 199,517.02

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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.