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Finding the Fourth Proportional to 377,449.44, 566,174.16 and 96,966.96

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Solution

The fourth proportional to 377,449.44, 566,174.16 and 96,966.96 is: 145,450.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,449.44 : 566,174.16 = 96,966.96 : x
  2. Step 2: Convert to fraction form
    377,449.44/566,174.16 = 96,966.96/x
  3. Step 3: Cross multiply
    377,449.44x = 566,174.16 × 96,966.96
  4. Step 4: Simplify right side
    377,449.44x = 54,900,187,125.75
  5. Step 5: Solve for x
    x = 54,900,187,125.75/377,449.44
  6. Step 6: Final answer
    x = 145,450.44

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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.