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Finding the Fourth Proportional to 394,535.80, 544,389.42 and 233,397.64

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Solution

The fourth proportional to 394,535.80, 544,389.42 and 233,397.64 is: 322,047.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,535.80 : 544,389.42 = 233,397.64 : x
  2. Step 2: Convert to fraction form
    394,535.80/544,389.42 = 233,397.64/x
  3. Step 3: Cross multiply
    394,535.80x = 544,389.42 × 233,397.64
  4. Step 4: Simplify right side
    394,535.80x = 127,059,205,868.97
  5. Step 5: Solve for x
    x = 127,059,205,868.97/394,535.80
  6. Step 6: Final answer
    x = 322,047.34

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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.