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Finding the Fourth Proportional to 422,666.13, 582,298.97 and 295,139.73

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Solution

The fourth proportional to 422,666.13, 582,298.97 and 295,139.73 is: 406,608.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,666.13 : 582,298.97 = 295,139.73 : x
  2. Step 2: Convert to fraction form
    422,666.13/582,298.97 = 295,139.73/x
  3. Step 3: Cross multiply
    422,666.13x = 582,298.97 × 295,139.73
  4. Step 4: Simplify right side
    422,666.13x = 171,859,559,309.38
  5. Step 5: Solve for x
    x = 171,859,559,309.38/422,666.13
  6. Step 6: Final answer
    x = 406,608.31

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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.