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Finding the Fourth Proportional to 394,809.16, 544,839.90 and 225,054.22

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Solution

The fourth proportional to 394,809.16, 544,839.90 and 225,054.22 is: 310,576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,809.16 : 544,839.90 = 225,054.22 : x
  2. Step 2: Convert to fraction form
    394,809.16/544,839.90 = 225,054.22/x
  3. Step 3: Cross multiply
    394,809.16x = 544,839.90 × 225,054.22
  4. Step 4: Simplify right side
    394,809.16x = 122,618,518,719.38
  5. Step 5: Solve for x
    x = 122,618,518,719.38/394,809.16
  6. Step 6: Final answer
    x = 310,576.68

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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.