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Finding the Fourth Proportional to 524,679.30, 724,058.29 and 295,249.33

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Solution

The fourth proportional to 524,679.30, 724,058.29 and 295,249.33 is: 407,444.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,679.30 : 724,058.29 = 295,249.33 : x
  2. Step 2: Convert to fraction form
    524,679.30/724,058.29 = 295,249.33/x
  3. Step 3: Cross multiply
    524,679.30x = 724,058.29 × 295,249.33
  4. Step 4: Simplify right side
    524,679.30x = 213,777,724,241.17
  5. Step 5: Solve for x
    x = 213,777,724,241.17/524,679.30
  6. Step 6: Final answer
    x = 407,444.56

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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.