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Finding the Fourth Proportional to 493,123.20, 737,812.80 and 327,235.20

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Solution

The fourth proportional to 493,123.20, 737,812.80 and 327,235.20 is: 489,610.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,123.20 : 737,812.80 = 327,235.20 : x
  2. Step 2: Convert to fraction form
    493,123.20/737,812.80 = 327,235.20/x
  3. Step 3: Cross multiply
    493,123.20x = 737,812.80 × 327,235.20
  4. Step 4: Simplify right side
    493,123.20x = 241,438,319,170.56
  5. Step 5: Solve for x
    x = 241,438,319,170.56/493,123.20
  6. Step 6: Final answer
    x = 489,610.55

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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.