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Finding the Fourth Proportional to 384,043.20, 576,064.80 and 342,052.80

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Solution

The fourth proportional to 384,043.20, 576,064.80 and 342,052.80 is: 513,079.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,043.20 : 576,064.80 = 342,052.80 : x
  2. Step 2: Convert to fraction form
    384,043.20/576,064.80 = 342,052.80/x
  3. Step 3: Cross multiply
    384,043.20x = 576,064.80 × 342,052.80
  4. Step 4: Simplify right side
    384,043.20x = 197,044,577,821.44
  5. Step 5: Solve for x
    x = 197,044,577,821.44/384,043.20
  6. Step 6: Final answer
    x = 513,079.20

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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.