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Finding the Fourth Proportional to 294,920.80, 442,381.20 and 161,749.60

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Solution

The fourth proportional to 294,920.80, 442,381.20 and 161,749.60 is: 242,624.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,920.80 : 442,381.20 = 161,749.60 : x
  2. Step 2: Convert to fraction form
    294,920.80/442,381.20 = 161,749.60/x
  3. Step 3: Cross multiply
    294,920.80x = 442,381.20 × 161,749.60
  4. Step 4: Simplify right side
    294,920.80x = 71,554,982,147.52
  5. Step 5: Solve for x
    x = 71,554,982,147.52/294,920.80
  6. Step 6: Final answer
    x = 242,624.40

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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.