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Finding the Fourth Proportional to 386,422.80, 579,634.20 and 342,877.20

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Solution

The fourth proportional to 386,422.80, 579,634.20 and 342,877.20 is: 514,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,422.80 : 579,634.20 = 342,877.20 : x
  2. Step 2: Convert to fraction form
    386,422.80/579,634.20 = 342,877.20/x
  3. Step 3: Cross multiply
    386,422.80x = 579,634.20 × 342,877.20
  4. Step 4: Simplify right side
    386,422.80x = 198,743,351,520.24
  5. Step 5: Solve for x
    x = 198,743,351,520.24/386,422.80
  6. Step 6: Final answer
    x = 514,315.80

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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.