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Finding the Fourth Proportional to 290,347.68, 400,723.20 and 177,236.16

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Solution

The fourth proportional to 290,347.68, 400,723.20 and 177,236.16 is: 244,612.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,347.68 : 400,723.20 = 177,236.16 : x
  2. Step 2: Convert to fraction form
    290,347.68/400,723.20 = 177,236.16/x
  3. Step 3: Cross multiply
    290,347.68x = 400,723.20 × 177,236.16
  4. Step 4: Simplify right side
    290,347.68x = 71,022,641,190.91
  5. Step 5: Solve for x
    x = 71,022,641,190.91/290,347.68
  6. Step 6: Final answer
    x = 244,612.39

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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.