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Finding the Fourth Proportional to 665,863.40, 998,924.70 and 192,564.20

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Solution

The fourth proportional to 665,863.40, 998,924.70 and 192,564.20 is: 288,883.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,863.40 : 998,924.70 = 192,564.20 : x
  2. Step 2: Convert to fraction form
    665,863.40/998,924.70 = 192,564.20/x
  3. Step 3: Cross multiply
    665,863.40x = 998,924.70 × 192,564.20
  4. Step 4: Simplify right side
    665,863.40x = 192,357,135,715.74
  5. Step 5: Solve for x
    x = 192,357,135,715.74/665,863.40
  6. Step 6: Final answer
    x = 288,883.78

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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.