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Finding the Fourth Proportional to 299,793.90, 413,720.69 and 178,911.73

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Solution

The fourth proportional to 299,793.90, 413,720.69 and 178,911.73 is: 246,901.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,793.90 : 413,720.69 = 178,911.73 : x
  2. Step 2: Convert to fraction form
    299,793.90/413,720.69 = 178,911.73/x
  3. Step 3: Cross multiply
    299,793.90x = 413,720.69 × 178,911.73
  4. Step 4: Simplify right side
    299,793.90x = 74,019,482,455.83
  5. Step 5: Solve for x
    x = 74,019,482,455.83/299,793.90
  6. Step 6: Final answer
    x = 246,901.23

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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.