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Finding the Fourth Proportional to 613,963.97, 921,070.52 and 193,141.97

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Solution

The fourth proportional to 613,963.97, 921,070.52 and 193,141.97 is: 289,752.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,963.97 : 921,070.52 = 193,141.97 : x
  2. Step 2: Convert to fraction form
    613,963.97/921,070.52 = 193,141.97/x
  3. Step 3: Cross multiply
    613,963.97x = 921,070.52 × 193,141.97
  4. Step 4: Simplify right side
    613,963.97x = 177,897,369,170.66
  5. Step 5: Solve for x
    x = 177,897,369,170.66/613,963.97
  6. Step 6: Final answer
    x = 289,752.13

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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.