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Finding the Fourth Proportional to 412,322, 569,004.36 and 233,508.56

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Solution

The fourth proportional to 412,322, 569,004.36 and 233,508.56 is: 322,241.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,322 : 569,004.36 = 233,508.56 : x
  2. Step 2: Convert to fraction form
    412,322/569,004.36 = 233,508.56/x
  3. Step 3: Cross multiply
    412,322x = 569,004.36 × 233,508.56
  4. Step 4: Simplify right side
    412,322x = 132,867,388,737.32
  5. Step 5: Solve for x
    x = 132,867,388,737.32/412,322
  6. Step 6: Final answer
    x = 322,241.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.