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Finding the Fourth Proportional to 299,847.60, 413,749.71 and 192,562.97

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Solution

The fourth proportional to 299,847.60, 413,749.71 and 192,562.97 is: 265,711.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,847.60 : 413,749.71 = 192,562.97 : x
  2. Step 2: Convert to fraction form
    299,847.60/413,749.71 = 192,562.97/x
  3. Step 3: Cross multiply
    299,847.60x = 413,749.71 × 192,562.97
  4. Step 4: Simplify right side
    299,847.60x = 79,672,870,925.49
  5. Step 5: Solve for x
    x = 79,672,870,925.49/299,847.60
  6. Step 6: Final answer
    x = 265,711.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.