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Finding the Fourth Proportional to 341,192.53, 511,640.16 and 181,233.46

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Solution

The fourth proportional to 341,192.53, 511,640.16 and 181,233.46 is: 271,771.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,192.53 : 511,640.16 = 181,233.46 : x
  2. Step 2: Convert to fraction form
    341,192.53/511,640.16 = 181,233.46/x
  3. Step 3: Cross multiply
    341,192.53x = 511,640.16 × 181,233.46
  4. Step 4: Simplify right side
    341,192.53x = 92,726,316,471.75
  5. Step 5: Solve for x
    x = 92,726,316,471.75/341,192.53
  6. Step 6: Final answer
    x = 271,771.24

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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.