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Finding the Fourth Proportional to 349,125.64, 481,793.70 and 198,222.64

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Solution

The fourth proportional to 349,125.64, 481,793.70 and 198,222.64 is: 273,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,125.64 : 481,793.70 = 198,222.64 : x
  2. Step 2: Convert to fraction form
    349,125.64/481,793.70 = 198,222.64/x
  3. Step 3: Cross multiply
    349,125.64x = 481,793.70 × 198,222.64
  4. Step 4: Simplify right side
    349,125.64x = 95,502,419,149.37
  5. Step 5: Solve for x
    x = 95,502,419,149.37/349,125.64
  6. Step 6: Final answer
    x = 273,547.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.