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Finding the Fourth Proportional to 493,016.15, 680,362.26 and 266,661.65

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Solution

The fourth proportional to 493,016.15, 680,362.26 and 266,661.65 is: 367,993.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,016.15 : 680,362.26 = 266,661.65 : x
  2. Step 2: Convert to fraction form
    493,016.15/680,362.26 = 266,661.65/x
  3. Step 3: Cross multiply
    493,016.15x = 680,362.26 × 266,661.65
  4. Step 4: Simplify right side
    493,016.15x = 181,426,522,849.33
  5. Step 5: Solve for x
    x = 181,426,522,849.33/493,016.15
  6. Step 6: Final answer
    x = 367,993.06

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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.