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Finding the Fourth Proportional to 422,468.70, 633,744.45 and 122,952.30

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Solution

The fourth proportional to 422,468.70, 633,744.45 and 122,952.30 is: 184,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,468.70 : 633,744.45 = 122,952.30 : x
  2. Step 2: Convert to fraction form
    422,468.70/633,744.45 = 122,952.30/x
  3. Step 3: Cross multiply
    422,468.70x = 633,744.45 × 122,952.30
  4. Step 4: Simplify right side
    422,468.70x = 77,920,337,739.74
  5. Step 5: Solve for x
    x = 77,920,337,739.74/422,468.70
  6. Step 6: Final answer
    x = 184,440.50

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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.