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Finding the Fourth Proportional to 393,949.85, 591,109.31 and 194,161.32

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Solution

The fourth proportional to 393,949.85, 591,109.31 and 194,161.32 is: 291,332.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,949.85 : 591,109.31 = 194,161.32 : x
  2. Step 2: Convert to fraction form
    393,949.85/591,109.31 = 194,161.32/x
  3. Step 3: Cross multiply
    393,949.85x = 591,109.31 × 194,161.32
  4. Step 4: Simplify right side
    393,949.85x = 114,770,564,379.29
  5. Step 5: Solve for x
    x = 114,770,564,379.29/393,949.85
  6. Step 6: Final answer
    x = 291,332.93

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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.