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Finding the Fourth Proportional to 394,494, 590,959.08 and 183,842.16

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Solution

The fourth proportional to 394,494, 590,959.08 and 183,842.16 is: 275,398.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,494 : 590,959.08 = 183,842.16 : x
  2. Step 2: Convert to fraction form
    394,494/590,959.08 = 183,842.16/x
  3. Step 3: Cross multiply
    394,494x = 590,959.08 × 183,842.16
  4. Step 4: Simplify right side
    394,494x = 108,643,193,738.81
  5. Step 5: Solve for x
    x = 108,643,193,738.81/394,494
  6. Step 6: Final answer
    x = 275,398.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.