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Finding the Fourth Proportional to 341,855.40, 511,786.50 and 199,264.44

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Solution

The fourth proportional to 341,855.40, 511,786.50 and 199,264.44 is: 298,315.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,855.40 : 511,786.50 = 199,264.44 : x
  2. Step 2: Convert to fraction form
    341,855.40/511,786.50 = 199,264.44/x
  3. Step 3: Cross multiply
    341,855.40x = 511,786.50 × 199,264.44
  4. Step 4: Simplify right side
    341,855.40x = 101,980,850,322.06
  5. Step 5: Solve for x
    x = 101,980,850,322.06/341,855.40
  6. Step 6: Final answer
    x = 298,315.75

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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.