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Finding the Fourth Proportional to 492,891.66, 680,190.52 and 266,537.16

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Solution

The fourth proportional to 492,891.66, 680,190.52 and 266,537.16 is: 367,821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,891.66 : 680,190.52 = 266,537.16 : x
  2. Step 2: Convert to fraction form
    492,891.66/680,190.52 = 266,537.16/x
  3. Step 3: Cross multiply
    492,891.66x = 680,190.52 × 266,537.16
  4. Step 4: Simplify right side
    492,891.66x = 181,296,048,793.38
  5. Step 5: Solve for x
    x = 181,296,048,793.38/492,891.66
  6. Step 6: Final answer
    x = 367,821.30

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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.