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Finding the Fourth Proportional to 403,411.30, 605,490.85 and 203,872.14

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Solution

The fourth proportional to 403,411.30, 605,490.85 and 203,872.14 is: 305,997.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,411.30 : 605,490.85 = 203,872.14 : x
  2. Step 2: Convert to fraction form
    403,411.30/605,490.85 = 203,872.14/x
  3. Step 3: Cross multiply
    403,411.30x = 605,490.85 × 203,872.14
  4. Step 4: Simplify right side
    403,411.30x = 123,442,715,339.92
  5. Step 5: Solve for x
    x = 123,442,715,339.92/403,411.30
  6. Step 6: Final answer
    x = 305,997.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.