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Finding the Fourth Proportional to 392,680.80, 589,021.20 and 341,359.20

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Solution

The fourth proportional to 392,680.80, 589,021.20 and 341,359.20 is: 512,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,680.80 : 589,021.20 = 341,359.20 : x
  2. Step 2: Convert to fraction form
    392,680.80/589,021.20 = 341,359.20/x
  3. Step 3: Cross multiply
    392,680.80x = 589,021.20 × 341,359.20
  4. Step 4: Simplify right side
    392,680.80x = 201,067,805,615.04
  5. Step 5: Solve for x
    x = 201,067,805,615.04/392,680.80
  6. Step 6: Final answer
    x = 512,038.80

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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.