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Finding the Fourth Proportional to 422,381.60, 633,679.72 and 122,862.16

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Solution

The fourth proportional to 422,381.60, 633,679.72 and 122,862.16 is: 184,324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,381.60 : 633,679.72 = 122,862.16 : x
  2. Step 2: Convert to fraction form
    422,381.60/633,679.72 = 122,862.16/x
  3. Step 3: Cross multiply
    422,381.60x = 633,679.72 × 122,862.16
  4. Step 4: Simplify right side
    422,381.60x = 77,855,259,147.40
  5. Step 5: Solve for x
    x = 77,855,259,147.40/422,381.60
  6. Step 6: Final answer
    x = 184,324.46

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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.