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Finding the Fourth Proportional to 410,309.55, 566,527.11 and 265,201.17

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Solution

The fourth proportional to 410,309.55, 566,527.11 and 265,201.17 is: 366,171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,309.55 : 566,527.11 = 265,201.17 : x
  2. Step 2: Convert to fraction form
    410,309.55/566,527.11 = 265,201.17/x
  3. Step 3: Cross multiply
    410,309.55x = 566,527.11 × 265,201.17
  4. Step 4: Simplify right side
    410,309.55x = 150,243,652,408.72
  5. Step 5: Solve for x
    x = 150,243,652,408.72/410,309.55
  6. Step 6: Final answer
    x = 366,171.47

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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.