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Finding the Fourth Proportional to 322,415.80, 483,628.34 and 122,747.14

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Solution

The fourth proportional to 322,415.80, 483,628.34 and 122,747.14 is: 184,122.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,415.80 : 483,628.34 = 122,747.14 : x
  2. Step 2: Convert to fraction form
    322,415.80/483,628.34 = 122,747.14/x
  3. Step 3: Cross multiply
    322,415.80x = 483,628.34 × 122,747.14
  4. Step 4: Simplify right side
    322,415.80x = 59,363,995,697.77
  5. Step 5: Solve for x
    x = 59,363,995,697.77/322,415.80
  6. Step 6: Final answer
    x = 184,122.48

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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.