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Finding the Fourth Proportional to 307,052.70, 460,391.41 and 147,177.55

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Solution

The fourth proportional to 307,052.70, 460,391.41 and 147,177.55 is: 220,676.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,052.70 : 460,391.41 = 147,177.55 : x
  2. Step 2: Convert to fraction form
    307,052.70/460,391.41 = 147,177.55/x
  3. Step 3: Cross multiply
    307,052.70x = 460,391.41 × 147,177.55
  4. Step 4: Simplify right side
    307,052.70x = 67,759,279,764.85
  5. Step 5: Solve for x
    x = 67,759,279,764.85/307,052.70
  6. Step 6: Final answer
    x = 220,676.38

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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.