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Finding the Fourth Proportional to 472,724.96, 709,093.61 and 157,181.87

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Solution

The fourth proportional to 472,724.96, 709,093.61 and 157,181.87 is: 235,774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,724.96 : 709,093.61 = 157,181.87 : x
  2. Step 2: Convert to fraction form
    472,724.96/709,093.61 = 157,181.87/x
  3. Step 3: Cross multiply
    472,724.96x = 709,093.61 × 157,181.87
  4. Step 4: Simplify right side
    472,724.96x = 111,456,655,882.91
  5. Step 5: Solve for x
    x = 111,456,655,882.91/472,724.96
  6. Step 6: Final answer
    x = 235,774.85

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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.