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Finding the Fourth Proportional to 231,843.80, 348,543.30 and 197,629.40

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Solution

The fourth proportional to 231,843.80, 348,543.30 and 197,629.40 is: 297,106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,843.80 : 348,543.30 = 197,629.40 : x
  2. Step 2: Convert to fraction form
    231,843.80/348,543.30 = 197,629.40/x
  3. Step 3: Cross multiply
    231,843.80x = 348,543.30 × 197,629.40
  4. Step 4: Simplify right side
    231,843.80x = 68,882,403,253.02
  5. Step 5: Solve for x
    x = 68,882,403,253.02/231,843.80
  6. Step 6: Final answer
    x = 297,106.95

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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.