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Finding the Fourth Proportional to 341,201.87, 511,189.91 and 200,883.95

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Solution

The fourth proportional to 341,201.87, 511,189.91 and 200,883.95 is: 300,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,201.87 : 511,189.91 = 200,883.95 : x
  2. Step 2: Convert to fraction form
    341,201.87/511,189.91 = 200,883.95/x
  3. Step 3: Cross multiply
    341,201.87x = 511,189.91 × 200,883.95
  4. Step 4: Simplify right side
    341,201.87x = 102,689,847,316.53
  5. Step 5: Solve for x
    x = 102,689,847,316.53/341,201.87
  6. Step 6: Final answer
    x = 300,965.08

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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.