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Finding the Fourth Proportional to 393,954.47, 591,116.25 and 194,165.95

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Solution

The fourth proportional to 393,954.47, 591,116.25 and 194,165.95 is: 291,339.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,954.47 : 591,116.25 = 194,165.95 : x
  2. Step 2: Convert to fraction form
    393,954.47/591,116.25 = 194,165.95/x
  3. Step 3: Cross multiply
    393,954.47x = 591,116.25 × 194,165.95
  4. Step 4: Simplify right side
    393,954.47x = 114,774,648,241.69
  5. Step 5: Solve for x
    x = 114,774,648,241.69/393,954.47
  6. Step 6: Final answer
    x = 291,339.88

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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.