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Finding the Fourth Proportional to 320,452.54, 442,227.40 and 177,214.97

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Solution

The fourth proportional to 320,452.54, 442,227.40 and 177,214.97 is: 244,558.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,452.54 : 442,227.40 = 177,214.97 : x
  2. Step 2: Convert to fraction form
    320,452.54/442,227.40 = 177,214.97/x
  3. Step 3: Cross multiply
    320,452.54x = 442,227.40 × 177,214.97
  4. Step 4: Simplify right side
    320,452.54x = 78,369,316,086.71
  5. Step 5: Solve for x
    x = 78,369,316,086.71/320,452.54
  6. Step 6: Final answer
    x = 244,558.26

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1.5x scale

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.