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Finding the Fourth Proportional to 410,311.67, 566,530.03 and 265,203.31

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Solution

The fourth proportional to 410,311.67, 566,530.03 and 265,203.31 is: 366,174.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,311.67 : 566,530.03 = 265,203.31 : x
  2. Step 2: Convert to fraction form
    410,311.67/566,530.03 = 265,203.31/x
  3. Step 3: Cross multiply
    410,311.67x = 566,530.03 × 265,203.31
  4. Step 4: Simplify right side
    410,311.67x = 150,245,639,170.40
  5. Step 5: Solve for x
    x = 150,245,639,170.40/410,311.67
  6. Step 6: Final answer
    x = 366,174.42

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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.