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Finding the Fourth Proportional to 304,471.18, 420,571.84 and 233,725.42

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Solution

The fourth proportional to 304,471.18, 420,571.84 and 233,725.42 is: 322,849.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,471.18 : 420,571.84 = 233,725.42 : x
  2. Step 2: Convert to fraction form
    304,471.18/420,571.84 = 233,725.42/x
  3. Step 3: Cross multiply
    304,471.18x = 420,571.84 × 233,725.42
  4. Step 4: Simplify right side
    304,471.18x = 98,298,329,944.17
  5. Step 5: Solve for x
    x = 98,298,329,944.17/304,471.18
  6. Step 6: Final answer
    x = 322,849.37

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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.