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Finding the Fourth Proportional to 394,282.82, 544,291.93 and 230,916.60

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Solution

The fourth proportional to 394,282.82, 544,291.93 and 230,916.60 is: 318,771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,282.82 : 544,291.93 = 230,916.60 : x
  2. Step 2: Convert to fraction form
    394,282.82/544,291.93 = 230,916.60/x
  3. Step 3: Cross multiply
    394,282.82x = 544,291.93 × 230,916.60
  4. Step 4: Simplify right side
    394,282.82x = 125,686,041,883.04
  5. Step 5: Solve for x
    x = 125,686,041,883.04/394,282.82
  6. Step 6: Final answer
    x = 318,771.29

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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.