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Finding the Fourth Proportional to 341,579.16, 471,343.46 and 198,311.22

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Solution

The fourth proportional to 341,579.16, 471,343.46 and 198,311.22 is: 273,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,579.16 : 471,343.46 = 198,311.22 : x
  2. Step 2: Convert to fraction form
    341,579.16/471,343.46 = 198,311.22/x
  3. Step 3: Cross multiply
    341,579.16x = 471,343.46 × 198,311.22
  4. Step 4: Simplify right side
    341,579.16x = 93,472,695,600.07
  5. Step 5: Solve for x
    x = 93,472,695,600.07/341,579.16
  6. Step 6: Final answer
    x = 273,648.71

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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.