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Finding the Fourth Proportional to 394,802.04, 544,825.24 and 213,514.16

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Solution

The fourth proportional to 394,802.04, 544,825.24 and 213,514.16 is: 294,648.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,802.04 : 544,825.24 = 213,514.16 : x
  2. Step 2: Convert to fraction form
    394,802.04/544,825.24 = 213,514.16/x
  3. Step 3: Cross multiply
    394,802.04x = 544,825.24 × 213,514.16
  4. Step 4: Simplify right side
    394,802.04x = 116,327,899,673.70
  5. Step 5: Solve for x
    x = 116,327,899,673.70/394,802.04
  6. Step 6: Final answer
    x = 294,648.68

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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.