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Finding the Fourth Proportional to 410,222.25, 566,135.10 and 228,969.45

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Solution

The fourth proportional to 410,222.25, 566,135.10 and 228,969.45 is: 315,993.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,222.25 : 566,135.10 = 228,969.45 : x
  2. Step 2: Convert to fraction form
    410,222.25/566,135.10 = 228,969.45/x
  3. Step 3: Cross multiply
    410,222.25x = 566,135.10 × 228,969.45
  4. Step 4: Simplify right side
    410,222.25x = 129,627,642,472.70
  5. Step 5: Solve for x
    x = 129,627,642,472.70/410,222.25
  6. Step 6: Final answer
    x = 315,993.69

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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.