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Finding the Fourth Proportional to 393,721.43, 590,676.22 and 127,482.24

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Solution

The fourth proportional to 393,721.43, 590,676.22 and 127,482.24 is: 191,253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,721.43 : 590,676.22 = 127,482.24 : x
  2. Step 2: Convert to fraction form
    393,721.43/590,676.22 = 127,482.24/x
  3. Step 3: Cross multiply
    393,721.43x = 590,676.22 × 127,482.24
  4. Step 4: Simplify right side
    393,721.43x = 75,300,727,640.33
  5. Step 5: Solve for x
    x = 75,300,727,640.33/393,721.43
  6. Step 6: Final answer
    x = 191,253.82

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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.