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Finding the Fourth Proportional to 341,193.53, 511,641.66 and 181,234.46

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Solution

The fourth proportional to 341,193.53, 511,641.66 and 181,234.46 is: 271,772.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,193.53 : 511,641.66 = 181,234.46 : x
  2. Step 2: Convert to fraction form
    341,193.53/511,641.66 = 181,234.46/x
  3. Step 3: Cross multiply
    341,193.53x = 511,641.66 × 181,234.46
  4. Step 4: Simplify right side
    341,193.53x = 92,727,099,963.60
  5. Step 5: Solve for x
    x = 92,727,099,963.60/341,193.53
  6. Step 6: Final answer
    x = 271,772.74

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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.