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Finding the Fourth Proportional to 409,578.09, 565,220.34 and 228,301.49

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Solution

The fourth proportional to 409,578.09, 565,220.34 and 228,301.49 is: 315,057.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,578.09 : 565,220.34 = 228,301.49 : x
  2. Step 2: Convert to fraction form
    409,578.09/565,220.34 = 228,301.49/x
  3. Step 3: Cross multiply
    409,578.09x = 565,220.34 × 228,301.49
  4. Step 4: Simplify right side
    409,578.09x = 129,040,642,974.21
  5. Step 5: Solve for x
    x = 129,040,642,974.21/409,578.09
  6. Step 6: Final answer
    x = 315,057.49

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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.