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Finding the Fourth Proportional to 472,724.83, 709,093.42 and 157,181.73

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Solution

The fourth proportional to 472,724.83, 709,093.42 and 157,181.73 is: 235,774.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,724.83 : 709,093.42 = 157,181.73 : x
  2. Step 2: Convert to fraction form
    472,724.83/709,093.42 = 157,181.73/x
  3. Step 3: Cross multiply
    472,724.83x = 709,093.42 × 157,181.73
  4. Step 4: Simplify right side
    472,724.83x = 111,456,530,487.22
  5. Step 5: Solve for x
    x = 111,456,530,487.22/472,724.83
  6. Step 6: Final answer
    x = 235,774.65

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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.