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Finding the Fourth Proportional to 571,106.42, 856,472.75 and 267,406.57

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Solution

The fourth proportional to 571,106.42, 856,472.75 and 267,406.57 is: 401,022.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,106.42 : 856,472.75 = 267,406.57 : x
  2. Step 2: Convert to fraction form
    571,106.42/856,472.75 = 267,406.57/x
  3. Step 3: Cross multiply
    571,106.42x = 856,472.75 × 267,406.57
  4. Step 4: Simplify right side
    571,106.42x = 229,026,440,375.97
  5. Step 5: Solve for x
    x = 229,026,440,375.97/571,106.42
  6. Step 6: Final answer
    x = 401,022.35

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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.