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Finding the Fourth Proportional to 393,711.84, 590,504.58 and 140,945.40

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Solution

The fourth proportional to 393,711.84, 590,504.58 and 140,945.40 is: 211,395.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,711.84 : 590,504.58 = 140,945.40 : x
  2. Step 2: Convert to fraction form
    393,711.84/590,504.58 = 140,945.40/x
  3. Step 3: Cross multiply
    393,711.84x = 590,504.58 × 140,945.40
  4. Step 4: Simplify right side
    393,711.84x = 83,228,904,229.93
  5. Step 5: Solve for x
    x = 83,228,904,229.93/393,711.84
  6. Step 6: Final answer
    x = 211,395.48

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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.