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Finding the Fourth Proportional to 392,049, 588,078.05 and 372,927.33

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Solution

The fourth proportional to 392,049, 588,078.05 and 372,927.33 is: 559,395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,049 : 588,078.05 = 372,927.33 : x
  2. Step 2: Convert to fraction form
    392,049/588,078.05 = 372,927.33/x
  3. Step 3: Cross multiply
    392,049x = 588,078.05 × 372,927.33
  4. Step 4: Simplify right side
    392,049x = 219,310,375,153.47
  5. Step 5: Solve for x
    x = 219,310,375,153.47/392,049
  6. Step 6: Final answer
    x = 559,395.32

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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.