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Finding the Fourth Proportional to 584,263, 806,282.94 and 315,991

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Solution

The fourth proportional to 584,263, 806,282.94 and 315,991 is: 436,067.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,263 : 806,282.94 = 315,991 : x
  2. Step 2: Convert to fraction form
    584,263/806,282.94 = 315,991/x
  3. Step 3: Cross multiply
    584,263x = 806,282.94 × 315,991
  4. Step 4: Simplify right side
    584,263x = 254,778,152,493.54
  5. Step 5: Solve for x
    x = 254,778,152,493.54/584,263
  6. Step 6: Final answer
    x = 436,067.58

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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.