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Finding the Fourth Proportional to 410,189.31, 566,060.19 and 228,899.34

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Solution

The fourth proportional to 410,189.31, 566,060.19 and 228,899.34 is: 315,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,189.31 : 566,060.19 = 228,899.34 : x
  2. Step 2: Convert to fraction form
    410,189.31/566,060.19 = 228,899.34/x
  3. Step 3: Cross multiply
    410,189.31x = 566,060.19 × 228,899.34
  4. Step 4: Simplify right side
    410,189.31x = 129,570,803,891.28
  5. Step 5: Solve for x
    x = 129,570,803,891.28/410,189.31
  6. Step 6: Final answer
    x = 315,880.50

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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.