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Finding the Fourth Proportional to 352,441, 486,147.28 and 209,099.56

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Solution

The fourth proportional to 352,441, 486,147.28 and 209,099.56 is: 288,426.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,441 : 486,147.28 = 209,099.56 : x
  2. Step 2: Convert to fraction form
    352,441/486,147.28 = 209,099.56/x
  3. Step 3: Cross multiply
    352,441x = 486,147.28 × 209,099.56
  4. Step 4: Simplify right side
    352,441x = 101,653,182,343.20
  5. Step 5: Solve for x
    x = 101,653,182,343.20/352,441
  6. Step 6: Final answer
    x = 288,426.10

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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.