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Finding the Fourth Proportional to 410,201.34, 566,076.72 and 228,911.34

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Solution

The fourth proportional to 410,201.34, 566,076.72 and 228,911.34 is: 315,897.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,201.34 : 566,076.72 = 228,911.34 : x
  2. Step 2: Convert to fraction form
    410,201.34/566,076.72 = 228,911.34/x
  3. Step 3: Cross multiply
    410,201.34x = 566,076.72 × 228,911.34
  4. Step 4: Simplify right side
    410,201.34x = 129,581,380,518.01
  5. Step 5: Solve for x
    x = 129,581,380,518.01/410,201.34
  6. Step 6: Final answer
    x = 315,897.02

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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.