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Finding the Fourth Proportional to 393,954.18, 591,115.81 and 194,165.66

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Solution

The fourth proportional to 393,954.18, 591,115.81 and 194,165.66 is: 291,339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,954.18 : 591,115.81 = 194,165.66 : x
  2. Step 2: Convert to fraction form
    393,954.18/591,115.81 = 194,165.66/x
  3. Step 3: Cross multiply
    393,954.18x = 591,115.81 × 194,165.66
  4. Step 4: Simplify right side
    393,954.18x = 114,774,391,385.09
  5. Step 5: Solve for x
    x = 114,774,391,385.09/393,954.18
  6. Step 6: Final answer
    x = 291,339.44

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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.