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Finding the Fourth Proportional to 419,823.34, 579,357.09 and 274,728.65

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Solution

The fourth proportional to 419,823.34, 579,357.09 and 274,728.65 is: 379,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,823.34 : 579,357.09 = 274,728.65 : x
  2. Step 2: Convert to fraction form
    419,823.34/579,357.09 = 274,728.65/x
  3. Step 3: Cross multiply
    419,823.34x = 579,357.09 × 274,728.65
  4. Step 4: Simplify right side
    419,823.34x = 159,165,988,306.84
  5. Step 5: Solve for x
    x = 159,165,988,306.84/419,823.34
  6. Step 6: Final answer
    x = 379,126.11

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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.