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Finding the Fourth Proportional to 589,813.25, 813,930.78 and 331,693.48

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Solution

The fourth proportional to 589,813.25, 813,930.78 and 331,693.48 is: 457,730.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,813.25 : 813,930.78 = 331,693.48 : x
  2. Step 2: Convert to fraction form
    589,813.25/813,930.78 = 331,693.48/x
  3. Step 3: Cross multiply
    589,813.25x = 813,930.78 × 331,693.48
  4. Step 4: Simplify right side
    589,813.25x = 269,975,533,292.80
  5. Step 5: Solve for x
    x = 269,975,533,292.80/589,813.25
  6. Step 6: Final answer
    x = 457,730.54

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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.