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Finding the Fourth Proportional to 341,324.53, 510,995.22 and 198,734.83

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Solution

The fourth proportional to 341,324.53, 510,995.22 and 198,734.83 is: 297,524.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,324.53 : 510,995.22 = 198,734.83 : x
  2. Step 2: Convert to fraction form
    341,324.53/510,995.22 = 198,734.83/x
  3. Step 3: Cross multiply
    341,324.53x = 510,995.22 × 198,734.83
  4. Step 4: Simplify right side
    341,324.53x = 101,552,548,177.51
  5. Step 5: Solve for x
    x = 101,552,548,177.51/341,324.53
  6. Step 6: Final answer
    x = 297,524.90

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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.