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Finding the Fourth Proportional to 393,954.97, 591,117 and 194,166.45

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Solution

The fourth proportional to 393,954.97, 591,117 and 194,166.45 is: 291,340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,954.97 : 591,117 = 194,166.45 : x
  2. Step 2: Convert to fraction form
    393,954.97/591,117 = 194,166.45/x
  3. Step 3: Cross multiply
    393,954.97x = 591,117 × 194,166.45
  4. Step 4: Simplify right side
    393,954.97x = 114,775,089,424.65
  5. Step 5: Solve for x
    x = 114,775,089,424.65/393,954.97
  6. Step 6: Final answer
    x = 291,340.63

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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.