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Finding the Fourth Proportional to 493,310.68, 680,768.75 and 266,956.18

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Solution

The fourth proportional to 493,310.68, 680,768.75 and 266,956.18 is: 368,399.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,310.68 : 680,768.75 = 266,956.18 : x
  2. Step 2: Convert to fraction form
    493,310.68/680,768.75 = 266,956.18/x
  3. Step 3: Cross multiply
    493,310.68x = 680,768.75 × 266,956.18
  4. Step 4: Simplify right side
    493,310.68x = 181,735,424,963.38
  5. Step 5: Solve for x
    x = 181,735,424,963.38/493,310.68
  6. Step 6: Final answer
    x = 368,399.53

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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.