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Finding the Fourth Proportional to 462,564.88, 638,331.24 and 261,356.56

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Solution

The fourth proportional to 462,564.88, 638,331.24 and 261,356.56 is: 360,667.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,564.88 : 638,331.24 = 261,356.56 : x
  2. Step 2: Convert to fraction form
    462,564.88/638,331.24 = 261,356.56/x
  3. Step 3: Cross multiply
    462,564.88x = 638,331.24 × 261,356.56
  4. Step 4: Simplify right side
    462,564.88x = 166,832,057,026.93
  5. Step 5: Solve for x
    x = 166,832,057,026.93/462,564.88
  6. Step 6: Final answer
    x = 360,667.37

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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.