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Finding the Fourth Proportional to 417,850.56, 576,637.92 and 226,865.52

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Solution

The fourth proportional to 417,850.56, 576,637.92 and 226,865.52 is: 313,076.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,850.56 : 576,637.92 = 226,865.52 : x
  2. Step 2: Convert to fraction form
    417,850.56/576,637.92 = 226,865.52/x
  3. Step 3: Cross multiply
    417,850.56x = 576,637.92 × 226,865.52
  4. Step 4: Simplify right side
    417,850.56x = 130,819,261,572.52
  5. Step 5: Solve for x
    x = 130,819,261,572.52/417,850.56
  6. Step 6: Final answer
    x = 313,076.67

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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.