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Finding the Fourth Proportional to 304,956.29, 420,842.16 and 168,992.53

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Solution

The fourth proportional to 304,956.29, 420,842.16 and 168,992.53 is: 233,211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,956.29 : 420,842.16 = 168,992.53 : x
  2. Step 2: Convert to fraction form
    304,956.29/420,842.16 = 168,992.53/x
  3. Step 3: Cross multiply
    304,956.29x = 420,842.16 × 168,992.53
  4. Step 4: Simplify right side
    304,956.29x = 71,119,179,244.85
  5. Step 5: Solve for x
    x = 71,119,179,244.85/304,956.29
  6. Step 6: Final answer
    x = 233,211.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.