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Finding the Fourth Proportional to 305,306.46, 421,305.74 and 169,330.65

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Solution

The fourth proportional to 305,306.46, 421,305.74 and 169,330.65 is: 233,666.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,306.46 : 421,305.74 = 169,330.65 : x
  2. Step 2: Convert to fraction form
    305,306.46/421,305.74 = 169,330.65/x
  3. Step 3: Cross multiply
    305,306.46x = 421,305.74 × 169,330.65
  4. Step 4: Simplify right side
    305,306.46x = 71,339,971,849.75
  5. Step 5: Solve for x
    x = 71,339,971,849.75/305,306.46
  6. Step 6: Final answer
    x = 233,666.76

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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.