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Finding the Fourth Proportional to 299,232.22, 412,458.08 and 202,400.76

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Solution

The fourth proportional to 299,232.22, 412,458.08 and 202,400.76 is: 278,986.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,232.22 : 412,458.08 = 202,400.76 : x
  2. Step 2: Convert to fraction form
    299,232.22/412,458.08 = 202,400.76/x
  3. Step 3: Cross multiply
    299,232.22x = 412,458.08 × 202,400.76
  4. Step 4: Simplify right side
    299,232.22x = 83,481,828,860.14
  5. Step 5: Solve for x
    x = 83,481,828,860.14/299,232.22
  6. Step 6: Final answer
    x = 278,986.76

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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.