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Finding the Fourth Proportional to 320,692.48, 442,549.38 and 177,452.62

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Solution

The fourth proportional to 320,692.48, 442,549.38 and 177,452.62 is: 244,881.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,692.48 : 442,549.38 = 177,452.62 : x
  2. Step 2: Convert to fraction form
    320,692.48/442,549.38 = 177,452.62/x
  3. Step 3: Cross multiply
    320,692.48x = 442,549.38 × 177,452.62
  4. Step 4: Simplify right side
    320,692.48x = 78,531,546,960.38
  5. Step 5: Solve for x
    x = 78,531,546,960.38/320,692.48
  6. Step 6: Final answer
    x = 244,881.16

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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.