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Finding the Fourth Proportional to 422,009.85, 633,077.04 and 122,451.48

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Solution

The fourth proportional to 422,009.85, 633,077.04 and 122,451.48 is: 183,695.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,009.85 : 633,077.04 = 122,451.48 : x
  2. Step 2: Convert to fraction form
    422,009.85/633,077.04 = 122,451.48/x
  3. Step 3: Cross multiply
    422,009.85x = 633,077.04 × 122,451.48
  4. Step 4: Simplify right side
    422,009.85x = 77,521,220,502.02
  5. Step 5: Solve for x
    x = 77,521,220,502.02/422,009.85
  6. Step 6: Final answer
    x = 183,695.29

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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.