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Finding the Fourth Proportional to 613,969.84, 921,079.32 and 193,147.84

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Solution

The fourth proportional to 613,969.84, 921,079.32 and 193,147.84 is: 289,760.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,969.84 : 921,079.32 = 193,147.84 : x
  2. Step 2: Convert to fraction form
    613,969.84/921,079.32 = 193,147.84/x
  3. Step 3: Cross multiply
    613,969.84x = 921,079.32 × 193,147.84
  4. Step 4: Simplify right side
    613,969.84x = 177,904,481,126.67
  5. Step 5: Solve for x
    x = 177,904,481,126.67/613,969.84
  6. Step 6: Final answer
    x = 289,760.95

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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.