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Finding the Fourth Proportional to 284,334.95, 392,469.11 and 175,472.57

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Solution

The fourth proportional to 284,334.95, 392,469.11 and 175,472.57 is: 242,205.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,334.95 : 392,469.11 = 175,472.57 : x
  2. Step 2: Convert to fraction form
    284,334.95/392,469.11 = 175,472.57/x
  3. Step 3: Cross multiply
    284,334.95x = 392,469.11 × 175,472.57
  4. Step 4: Simplify right side
    284,334.95x = 68,867,560,537.60
  5. Step 5: Solve for x
    x = 68,867,560,537.60/284,334.95
  6. Step 6: Final answer
    x = 242,205.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.