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Finding the Fourth Proportional to 381,574.34, 572,361.51 and 132,256.34

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Solution

The fourth proportional to 381,574.34, 572,361.51 and 132,256.34 is: 198,384.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,574.34 : 572,361.51 = 132,256.34 : x
  2. Step 2: Convert to fraction form
    381,574.34/572,361.51 = 132,256.34/x
  3. Step 3: Cross multiply
    381,574.34x = 572,361.51 × 132,256.34
  4. Step 4: Simplify right side
    381,574.34x = 75,698,438,469.47
  5. Step 5: Solve for x
    x = 75,698,438,469.47/381,574.34
  6. Step 6: Final answer
    x = 198,384.51

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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.