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Finding the Fourth Proportional to 410,003.54, 565,805.72 and 228,710.76

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Solution

The fourth proportional to 410,003.54, 565,805.72 and 228,710.76 is: 315,621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,003.54 : 565,805.72 = 228,710.76 : x
  2. Step 2: Convert to fraction form
    410,003.54/565,805.72 = 228,710.76/x
  3. Step 3: Cross multiply
    410,003.54x = 565,805.72 × 228,710.76
  4. Step 4: Simplify right side
    410,003.54x = 129,405,856,233.55
  5. Step 5: Solve for x
    x = 129,405,856,233.55/410,003.54
  6. Step 6: Final answer
    x = 315,621.31

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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.