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Finding the Fourth Proportional to 600,825.94, 829,083.09 and 359,060.38

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Solution

The fourth proportional to 600,825.94, 829,083.09 and 359,060.38 is: 495,469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,825.94 : 829,083.09 = 359,060.38 : x
  2. Step 2: Convert to fraction form
    600,825.94/829,083.09 = 359,060.38/x
  3. Step 3: Cross multiply
    600,825.94x = 829,083.09 × 359,060.38
  4. Step 4: Simplify right side
    600,825.94x = 297,690,889,346.97
  5. Step 5: Solve for x
    x = 297,690,889,346.97/600,825.94
  6. Step 6: Final answer
    x = 495,469.44

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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.