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Finding the Fourth Proportional to 349,273.32, 523,471.56 and 149,358.54

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Solution

The fourth proportional to 349,273.32, 523,471.56 and 149,358.54 is: 223,850.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,273.32 : 523,471.56 = 149,358.54 : x
  2. Step 2: Convert to fraction form
    349,273.32/523,471.56 = 149,358.54/x
  3. Step 3: Cross multiply
    349,273.32x = 523,471.56 × 149,358.54
  4. Step 4: Simplify right side
    349,273.32x = 78,184,947,933.12
  5. Step 5: Solve for x
    x = 78,184,947,933.12/349,273.32
  6. Step 6: Final answer
    x = 223,850.33

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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.