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Finding the Fourth Proportional to 366,904.70, 550,357.05 and 177,455.83

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Solution

The fourth proportional to 366,904.70, 550,357.05 and 177,455.83 is: 266,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,904.70 : 550,357.05 = 177,455.83 : x
  2. Step 2: Convert to fraction form
    366,904.70/550,357.05 = 177,455.83/x
  3. Step 3: Cross multiply
    366,904.70x = 550,357.05 × 177,455.83
  4. Step 4: Simplify right side
    366,904.70x = 97,664,067,104.10
  5. Step 5: Solve for x
    x = 97,664,067,104.10/366,904.70
  6. Step 6: Final answer
    x = 266,183.75

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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.