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Finding the Fourth Proportional to 304,938.68, 420,809.09 and 168,971.43

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Solution

The fourth proportional to 304,938.68, 420,809.09 and 168,971.43 is: 233,177.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,938.68 : 420,809.09 = 168,971.43 : x
  2. Step 2: Convert to fraction form
    304,938.68/420,809.09 = 168,971.43/x
  3. Step 3: Cross multiply
    304,938.68x = 420,809.09 × 168,971.43
  4. Step 4: Simplify right side
    304,938.68x = 71,104,712,849.44
  5. Step 5: Solve for x
    x = 71,104,712,849.44/304,938.68
  6. Step 6: Final answer
    x = 233,177.09

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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.