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Finding the Fourth Proportional to 332,499.70, 498,047.55 and 220,233.70

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Solution

The fourth proportional to 332,499.70, 498,047.55 and 220,233.70 is: 329,885.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,499.70 : 498,047.55 = 220,233.70 : x
  2. Step 2: Convert to fraction form
    332,499.70/498,047.55 = 220,233.70/x
  3. Step 3: Cross multiply
    332,499.70x = 498,047.55 × 220,233.70
  4. Step 4: Simplify right side
    332,499.70x = 109,686,854,712.44
  5. Step 5: Solve for x
    x = 109,686,854,712.44/332,499.70
  6. Step 6: Final answer
    x = 329,885.57

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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.