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Finding the Fourth Proportional to 409,822.96, 565,558.14 and 228,546.34

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Solution

The fourth proportional to 409,822.96, 565,558.14 and 228,546.34 is: 315,395.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,822.96 : 565,558.14 = 228,546.34 : x
  2. Step 2: Convert to fraction form
    409,822.96/565,558.14 = 228,546.34/x
  3. Step 3: Cross multiply
    409,822.96x = 565,558.14 × 228,546.34
  4. Step 4: Simplify right side
    409,822.96x = 129,256,244,224.95
  5. Step 5: Solve for x
    x = 129,256,244,224.95/409,822.96
  6. Step 6: Final answer
    x = 315,395.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.