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Finding the Fourth Proportional to 584,265.75, 806,286.74 and 315,993.75

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Solution

The fourth proportional to 584,265.75, 806,286.74 and 315,993.75 is: 436,071.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,265.75 : 806,286.74 = 315,993.75 : x
  2. Step 2: Convert to fraction form
    584,265.75/806,286.74 = 315,993.75/x
  3. Step 3: Cross multiply
    584,265.75x = 806,286.74 × 315,993.75
  4. Step 4: Simplify right side
    584,265.75x = 254,781,568,967.91
  5. Step 5: Solve for x
    x = 254,781,568,967.91/584,265.75
  6. Step 6: Final answer
    x = 436,071.38

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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.