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Finding the Fourth Proportional to 415,410.57, 623,227.43 and 131,112.11

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Solution

The fourth proportional to 415,410.57, 623,227.43 and 131,112.11 is: 196,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,410.57 : 623,227.43 = 131,112.11 : x
  2. Step 2: Convert to fraction form
    415,410.57/623,227.43 = 131,112.11/x
  3. Step 3: Cross multiply
    415,410.57x = 623,227.43 × 131,112.11
  4. Step 4: Simplify right side
    415,410.57x = 81,712,661,143.55
  5. Step 5: Solve for x
    x = 81,712,661,143.55/415,410.57
  6. Step 6: Final answer
    x = 196,703.38

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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.