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Finding the Fourth Proportional to 466,872.53, 644,275.34 and 285,571.14

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Solution

The fourth proportional to 466,872.53, 644,275.34 and 285,571.14 is: 394,082.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,872.53 : 644,275.34 = 285,571.14 : x
  2. Step 2: Convert to fraction form
    466,872.53/644,275.34 = 285,571.14/x
  3. Step 3: Cross multiply
    466,872.53x = 644,275.34 × 285,571.14
  4. Step 4: Simplify right side
    466,872.53x = 183,986,443,317.69
  5. Step 5: Solve for x
    x = 183,986,443,317.69/466,872.53
  6. Step 6: Final answer
    x = 394,082.82

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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.