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Finding the Fourth Proportional to 294,474.18, 441,842.49 and 154,200

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Solution

The fourth proportional to 294,474.18, 441,842.49 and 154,200 is: 231,368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,474.18 : 441,842.49 = 154,200 : x
  2. Step 2: Convert to fraction form
    294,474.18/441,842.49 = 154,200/x
  3. Step 3: Cross multiply
    294,474.18x = 441,842.49 × 154,200
  4. Step 4: Simplify right side
    294,474.18x = 68,132,111,958
  5. Step 5: Solve for x
    x = 68,132,111,958/294,474.18
  6. Step 6: Final answer
    x = 231,368.71

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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.