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Finding the Fourth Proportional to 409,850.13, 565,592.09 and 228,562.26

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Solution

The fourth proportional to 409,850.13, 565,592.09 and 228,562.26 is: 315,415.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,850.13 : 565,592.09 = 228,562.26 : x
  2. Step 2: Convert to fraction form
    409,850.13/565,592.09 = 228,562.26/x
  3. Step 3: Cross multiply
    409,850.13x = 565,592.09 × 228,562.26
  4. Step 4: Simplify right side
    409,850.13x = 129,273,005,185.71
  5. Step 5: Solve for x
    x = 129,273,005,185.71/409,850.13
  6. Step 6: Final answer
    x = 315,415.31

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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.