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Finding the Fourth Proportional to 600,765.50, 829,058.82 and 332,493.50

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Solution

The fourth proportional to 600,765.50, 829,058.82 and 332,493.50 is: 458,842.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,765.50 : 829,058.82 = 332,493.50 : x
  2. Step 2: Convert to fraction form
    600,765.50/829,058.82 = 332,493.50/x
  3. Step 3: Cross multiply
    600,765.50x = 829,058.82 × 332,493.50
  4. Step 4: Simplify right side
    600,765.50x = 275,656,668,767.67
  5. Step 5: Solve for x
    x = 275,656,668,767.67/600,765.50
  6. Step 6: Final answer
    x = 458,842.37

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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.