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Finding the Fourth Proportional to 410,349.46, 566,538.26 and 265,231.20

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Solution

The fourth proportional to 410,349.46, 566,538.26 and 265,231.20 is: 366,184.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,349.46 : 566,538.26 = 265,231.20 : x
  2. Step 2: Convert to fraction form
    410,349.46/566,538.26 = 265,231.20/x
  3. Step 3: Cross multiply
    410,349.46x = 566,538.26 × 265,231.20
  4. Step 4: Simplify right side
    410,349.46x = 150,263,622,545.71
  5. Step 5: Solve for x
    x = 150,263,622,545.71/410,349.46
  6. Step 6: Final answer
    x = 366,184.53

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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.