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Finding the Fourth Proportional to 409,851.13, 565,593.46 and 228,563.26

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Solution

The fourth proportional to 409,851.13, 565,593.46 and 228,563.26 is: 315,416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,851.13 : 565,593.46 = 228,563.26 : x
  2. Step 2: Convert to fraction form
    409,851.13/565,593.46 = 228,563.26/x
  3. Step 3: Cross multiply
    409,851.13x = 565,593.46 × 228,563.26
  4. Step 4: Simplify right side
    409,851.13x = 129,273,885,052.28
  5. Step 5: Solve for x
    x = 129,273,885,052.28/409,851.13
  6. Step 6: Final answer
    x = 315,416.69

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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.