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Finding the Fourth Proportional to 297,439.16, 446,601.53 and 120,292.16

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Solution

The fourth proportional to 297,439.16, 446,601.53 and 120,292.16 is: 180,617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,439.16 : 446,601.53 = 120,292.16 : x
  2. Step 2: Convert to fraction form
    297,439.16/446,601.53 = 120,292.16/x
  3. Step 3: Cross multiply
    297,439.16x = 446,601.53 × 120,292.16
  4. Step 4: Simplify right side
    297,439.16x = 53,722,660,770.73
  5. Step 5: Solve for x
    x = 53,722,660,770.73/297,439.16
  6. Step 6: Final answer
    x = 180,617.31

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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.