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Finding the Fourth Proportional to 392,074.40, 588,111.60 and 384,201.20

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Solution

The fourth proportional to 392,074.40, 588,111.60 and 384,201.20 is: 576,301.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,074.40 : 588,111.60 = 384,201.20 : x
  2. Step 2: Convert to fraction form
    392,074.40/588,111.60 = 384,201.20/x
  3. Step 3: Cross multiply
    392,074.40x = 588,111.60 × 384,201.20
  4. Step 4: Simplify right side
    392,074.40x = 225,953,182,453.92
  5. Step 5: Solve for x
    x = 225,953,182,453.92/392,074.40
  6. Step 6: Final answer
    x = 576,301.80

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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.