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Finding the Fourth Proportional to 393,521.16, 590,314.20 and 127,324.44

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Solution

The fourth proportional to 393,521.16, 590,314.20 and 127,324.44 is: 190,997.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,521.16 : 590,314.20 = 127,324.44 : x
  2. Step 2: Convert to fraction form
    393,521.16/590,314.20 = 127,324.44/x
  3. Step 3: Cross multiply
    393,521.16x = 590,314.20 × 127,324.44
  4. Step 4: Simplify right side
    393,521.16x = 75,161,424,939.05
  5. Step 5: Solve for x
    x = 75,161,424,939.05/393,521.16
  6. Step 6: Final answer
    x = 190,997.16

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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.