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Finding the Fourth Proportional to 272,601.70, 408,902.55 and 197,952.10

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Solution

The fourth proportional to 272,601.70, 408,902.55 and 197,952.10 is: 296,928.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,601.70 : 408,902.55 = 197,952.10 : x
  2. Step 2: Convert to fraction form
    272,601.70/408,902.55 = 197,952.10/x
  3. Step 3: Cross multiply
    272,601.70x = 408,902.55 × 197,952.10
  4. Step 4: Simplify right side
    272,601.70x = 80,943,118,467.86
  5. Step 5: Solve for x
    x = 80,943,118,467.86/272,601.70
  6. Step 6: Final answer
    x = 296,928.15

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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.