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Finding the Fourth Proportional to 341,205.78, 511,874.28 and 130,827.30

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Solution

The fourth proportional to 341,205.78, 511,874.28 and 130,827.30 is: 196,266.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,205.78 : 511,874.28 = 130,827.30 : x
  2. Step 2: Convert to fraction form
    341,205.78/511,874.28 = 130,827.30/x
  3. Step 3: Cross multiply
    341,205.78x = 511,874.28 × 130,827.30
  4. Step 4: Simplify right side
    341,205.78x = 66,967,129,991.84
  5. Step 5: Solve for x
    x = 66,967,129,991.84/341,205.78
  6. Step 6: Final answer
    x = 196,266.11

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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.