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Finding the Fourth Proportional to 493,016.40, 680,362.61 and 266,661.90

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Solution

The fourth proportional to 493,016.40, 680,362.61 and 266,661.90 is: 367,993.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,016.40 : 680,362.61 = 266,661.90 : x
  2. Step 2: Convert to fraction form
    493,016.40/680,362.61 = 266,661.90/x
  3. Step 3: Cross multiply
    493,016.40x = 680,362.61 × 266,661.90
  4. Step 4: Simplify right side
    493,016.40x = 181,426,784,938.25
  5. Step 5: Solve for x
    x = 181,426,784,938.25/493,016.40
  6. Step 6: Final answer
    x = 367,993.41

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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.