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Finding the Fourth Proportional to 813,923, 1,220,884.52 and 315,287

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Solution

The fourth proportional to 813,923, 1,220,884.52 and 315,287 is: 472,930.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,923 : 1,220,884.52 = 315,287 : x
  2. Step 2: Convert to fraction form
    813,923/1,220,884.52 = 315,287/x
  3. Step 3: Cross multiply
    813,923x = 1,220,884.52 × 315,287
  4. Step 4: Simplify right side
    813,923x = 384,929,017,657.24
  5. Step 5: Solve for x
    x = 384,929,017,657.24/813,923
  6. Step 6: Final answer
    x = 472,930.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.