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Finding the Fourth Proportional to 465,313.88, 642,119.12 and 258,581.56

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Solution

The fourth proportional to 465,313.88, 642,119.12 and 258,581.56 is: 356,834.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,313.88 : 642,119.12 = 258,581.56 : x
  2. Step 2: Convert to fraction form
    465,313.88/642,119.12 = 258,581.56/x
  3. Step 3: Cross multiply
    465,313.88x = 642,119.12 × 258,581.56
  4. Step 4: Simplify right side
    465,313.88x = 166,040,163,755.43
  5. Step 5: Solve for x
    x = 166,040,163,755.43/465,313.88
  6. Step 6: Final answer
    x = 356,834.75

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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.