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Finding the Fourth Proportional to 610,863.26, 843,092.43 and 339,018.47

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Solution

The fourth proportional to 610,863.26, 843,092.43 and 339,018.47 is: 467,901.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,863.26 : 843,092.43 = 339,018.47 : x
  2. Step 2: Convert to fraction form
    610,863.26/843,092.43 = 339,018.47/x
  3. Step 3: Cross multiply
    610,863.26x = 843,092.43 × 339,018.47
  4. Step 4: Simplify right side
    610,863.26x = 285,823,905,687.18
  5. Step 5: Solve for x
    x = 285,823,905,687.18/610,863.26
  6. Step 6: Final answer
    x = 467,901.61

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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.