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Finding the Fourth Proportional to 341,351.10, 470,868.66 and 198,092.88

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Solution

The fourth proportional to 341,351.10, 470,868.66 and 198,092.88 is: 273,254.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,351.10 : 470,868.66 = 198,092.88 : x
  2. Step 2: Convert to fraction form
    341,351.10/470,868.66 = 198,092.88/x
  3. Step 3: Cross multiply
    341,351.10x = 470,868.66 × 198,092.88
  4. Step 4: Simplify right side
    341,351.10x = 93,275,728,961.14
  5. Step 5: Solve for x
    x = 93,275,728,961.14/341,351.10
  6. Step 6: Final answer
    x = 273,254.51

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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.