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Finding the Fourth Proportional to 393,944.78, 591,101.70 and 194,156.26

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Solution

The fourth proportional to 393,944.78, 591,101.70 and 194,156.26 is: 291,325.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,944.78 : 591,101.70 = 194,156.26 : x
  2. Step 2: Convert to fraction form
    393,944.78/591,101.70 = 194,156.26/x
  3. Step 3: Cross multiply
    393,944.78x = 591,101.70 × 194,156.26
  4. Step 4: Simplify right side
    393,944.78x = 114,766,094,237.93
  5. Step 5: Solve for x
    x = 114,766,094,237.93/393,944.78
  6. Step 6: Final answer
    x = 291,325.33

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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.