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Finding the Fourth Proportional to 322,613.49, 445,218.05 and 177,430.50

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Solution

The fourth proportional to 322,613.49, 445,218.05 and 177,430.50 is: 244,860.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,613.49 : 445,218.05 = 177,430.50 : x
  2. Step 2: Convert to fraction form
    322,613.49/445,218.05 = 177,430.50/x
  3. Step 3: Cross multiply
    322,613.49x = 445,218.05 × 177,430.50
  4. Step 4: Simplify right side
    322,613.49x = 78,995,261,220.53
  5. Step 5: Solve for x
    x = 78,995,261,220.53/322,613.49
  6. Step 6: Final answer
    x = 244,860.38

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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.