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Finding the Fourth Proportional to 412,524.89, 618,787.82 and 113,008.04

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Solution

The fourth proportional to 412,524.89, 618,787.82 and 113,008.04 is: 169,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,524.89 : 618,787.82 = 113,008.04 : x
  2. Step 2: Convert to fraction form
    412,524.89/618,787.82 = 113,008.04/x
  3. Step 3: Cross multiply
    412,524.89x = 618,787.82 × 113,008.04
  4. Step 4: Simplify right side
    412,524.89x = 69,927,999,696.00
  5. Step 5: Solve for x
    x = 69,927,999,696.00/412,524.89
  6. Step 6: Final answer
    x = 169,512.20

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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.