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Finding the Fourth Proportional to 393,709.68, 590,658.59 and 127,470.49

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Solution

The fourth proportional to 393,709.68, 590,658.59 and 127,470.49 is: 191,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,709.68 : 590,658.59 = 127,470.49 : x
  2. Step 2: Convert to fraction form
    393,709.68/590,658.59 = 127,470.49/x
  3. Step 3: Cross multiply
    393,709.68x = 590,658.59 × 127,470.49
  4. Step 4: Simplify right side
    393,709.68x = 75,291,538,732.04
  5. Step 5: Solve for x
    x = 75,291,538,732.04/393,709.68
  6. Step 6: Final answer
    x = 191,236.19

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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.