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Finding the Fourth Proportional to 414,687.94, 571,470.33 and 301,331.14

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Solution

The fourth proportional to 414,687.94, 571,470.33 and 301,331.14 is: 415,256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,687.94 : 571,470.33 = 301,331.14 : x
  2. Step 2: Convert to fraction form
    414,687.94/571,470.33 = 301,331.14/x
  3. Step 3: Cross multiply
    414,687.94x = 571,470.33 × 301,331.14
  4. Step 4: Simplify right side
    414,687.94x = 172,201,806,015.08
  5. Step 5: Solve for x
    x = 172,201,806,015.08/414,687.94
  6. Step 6: Final answer
    x = 415,256.36

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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.