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Finding the Fourth Proportional to 466,136.46, 699,204.72 and 185,850.54

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Solution

The fourth proportional to 466,136.46, 699,204.72 and 185,850.54 is: 278,775.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,136.46 : 699,204.72 = 185,850.54 : x
  2. Step 2: Convert to fraction form
    466,136.46/699,204.72 = 185,850.54/x
  3. Step 3: Cross multiply
    466,136.46x = 699,204.72 × 185,850.54
  4. Step 4: Simplify right side
    466,136.46x = 129,947,574,782.55
  5. Step 5: Solve for x
    x = 129,947,574,782.55/466,136.46
  6. Step 6: Final answer
    x = 278,775.82

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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.