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Finding the Fourth Proportional to 613,959.84, 921,064.32 and 193,137.84

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Solution

The fourth proportional to 613,959.84, 921,064.32 and 193,137.84 is: 289,745.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,959.84 : 921,064.32 = 193,137.84 : x
  2. Step 2: Convert to fraction form
    613,959.84/921,064.32 = 193,137.84/x
  3. Step 3: Cross multiply
    613,959.84x = 921,064.32 × 193,137.84
  4. Step 4: Simplify right side
    613,959.84x = 177,892,373,265.87
  5. Step 5: Solve for x
    x = 177,892,373,265.87/613,959.84
  6. Step 6: Final answer
    x = 289,745.94

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Why These Related Problems?

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