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Finding the Fourth Proportional to 294,474.93, 441,843.62 and 154,200.75

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Solution

The fourth proportional to 294,474.93, 441,843.62 and 154,200.75 is: 231,369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,474.93 : 441,843.62 = 154,200.75 : x
  2. Step 2: Convert to fraction form
    294,474.93/441,843.62 = 154,200.75/x
  3. Step 3: Cross multiply
    294,474.93x = 441,843.62 × 154,200.75
  4. Step 4: Simplify right side
    294,474.93x = 68,132,616,815.71
  5. Step 5: Solve for x
    x = 68,132,616,815.71/294,474.93
  6. Step 6: Final answer
    x = 231,369.84

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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.