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Finding the Fourth Proportional to 341,185.20, 511,000.20 and 201,217.20

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Solution

The fourth proportional to 341,185.20, 511,000.20 and 201,217.20 is: 301,367.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,185.20 : 511,000.20 = 201,217.20 : x
  2. Step 2: Convert to fraction form
    341,185.20/511,000.20 = 201,217.20/x
  3. Step 3: Cross multiply
    341,185.20x = 511,000.20 × 201,217.20
  4. Step 4: Simplify right side
    341,185.20x = 102,822,029,443.44
  5. Step 5: Solve for x
    x = 102,822,029,443.44/341,185.20
  6. Step 6: Final answer
    x = 301,367.20

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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.