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Finding the Fourth Proportional to 327,046.77, 490,640.88 and 99,323.67

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Solution

The fourth proportional to 327,046.77, 490,640.88 and 99,323.67 is: 149,006.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,046.77 : 490,640.88 = 99,323.67 : x
  2. Step 2: Convert to fraction form
    327,046.77/490,640.88 = 99,323.67/x
  3. Step 3: Cross multiply
    327,046.77x = 490,640.88 × 99,323.67
  4. Step 4: Simplify right side
    327,046.77x = 48,732,252,853.63
  5. Step 5: Solve for x
    x = 48,732,252,853.63/327,046.77
  6. Step 6: Final answer
    x = 149,006.98

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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.