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Finding the Fourth Proportional to 414,008.10, 620,793.45 and 177,083.10

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Solution

The fourth proportional to 414,008.10, 620,793.45 and 177,083.10 is: 265,531.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,008.10 : 620,793.45 = 177,083.10 : x
  2. Step 2: Convert to fraction form
    414,008.10/620,793.45 = 177,083.10/x
  3. Step 3: Cross multiply
    414,008.10x = 620,793.45 × 177,083.10
  4. Step 4: Simplify right side
    414,008.10x = 109,932,028,585.70
  5. Step 5: Solve for x
    x = 109,932,028,585.70/414,008.10
  6. Step 6: Final answer
    x = 265,531.11

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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.