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Finding the Fourth Proportional to 299,343.15, 413,437.21 and 218,033.68

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Solution

The fourth proportional to 299,343.15, 413,437.21 and 218,033.68 is: 301,136.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,343.15 : 413,437.21 = 218,033.68 : x
  2. Step 2: Convert to fraction form
    299,343.15/413,437.21 = 218,033.68/x
  3. Step 3: Cross multiply
    299,343.15x = 413,437.21 × 218,033.68
  4. Step 4: Simplify right side
    299,343.15x = 90,143,236,345.23
  5. Step 5: Solve for x
    x = 90,143,236,345.23/299,343.15
  6. Step 6: Final answer
    x = 301,136.79

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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.