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Finding the Fourth Proportional to 266,585.20, 398,905.80 and 196,601.20

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Solution

The fourth proportional to 266,585.20, 398,905.80 and 196,601.20 is: 294,184.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,585.20 : 398,905.80 = 196,601.20 : x
  2. Step 2: Convert to fraction form
    266,585.20/398,905.80 = 196,601.20/x
  3. Step 3: Cross multiply
    266,585.20x = 398,905.80 × 196,601.20
  4. Step 4: Simplify right side
    266,585.20x = 78,425,358,966.96
  5. Step 5: Solve for x
    x = 78,425,358,966.96/266,585.20
  6. Step 6: Final answer
    x = 294,184.97

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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.