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Finding the Fourth Proportional to 571,105.97, 856,472.09 and 267,406.13

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Solution

The fourth proportional to 571,105.97, 856,472.09 and 267,406.13 is: 401,021.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,105.97 : 856,472.09 = 267,406.13 : x
  2. Step 2: Convert to fraction form
    571,105.97/856,472.09 = 267,406.13/x
  3. Step 3: Cross multiply
    571,105.97x = 856,472.09 × 267,406.13
  4. Step 4: Simplify right side
    571,105.97x = 229,025,881,420.52
  5. Step 5: Solve for x
    x = 229,025,881,420.52/571,105.97
  6. Step 6: Final answer
    x = 401,021.69

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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.