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Finding the Fourth Proportional to 463,793.70, 695,406.24 and 197,402.52

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Solution

The fourth proportional to 463,793.70, 695,406.24 and 197,402.52 is: 295,982.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,793.70 : 695,406.24 = 197,402.52 : x
  2. Step 2: Convert to fraction form
    463,793.70/695,406.24 = 197,402.52/x
  3. Step 3: Cross multiply
    463,793.70x = 695,406.24 × 197,402.52
  4. Step 4: Simplify right side
    463,793.70x = 137,274,944,199.73
  5. Step 5: Solve for x
    x = 137,274,944,199.73/463,793.70
  6. Step 6: Final answer
    x = 295,982.77

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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.