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Finding the Fourth Proportional to 393,714.07, 590,664.96 and 127,474.66

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Solution

The fourth proportional to 393,714.07, 590,664.96 and 127,474.66 is: 191,242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,714.07 : 590,664.96 = 127,474.66 : x
  2. Step 2: Convert to fraction form
    393,714.07/590,664.96 = 127,474.66/x
  3. Step 3: Cross multiply
    393,714.07x = 590,664.96 × 127,474.66
  4. Step 4: Simplify right side
    393,714.07x = 75,294,813,473.25
  5. Step 5: Solve for x
    x = 75,294,813,473.25/393,714.07
  6. Step 6: Final answer
    x = 191,242.38

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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.