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Finding the Fourth Proportional to 610,822.26, 842,906.16 and 338,887.26

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Solution

The fourth proportional to 610,822.26, 842,906.16 and 338,887.26 is: 467,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,822.26 : 842,906.16 = 338,887.26 : x
  2. Step 2: Convert to fraction form
    610,822.26/842,906.16 = 338,887.26/x
  3. Step 3: Cross multiply
    610,822.26x = 842,906.16 × 338,887.26
  4. Step 4: Simplify right side
    610,822.26x = 285,650,158,999.52
  5. Step 5: Solve for x
    x = 285,650,158,999.52/610,822.26
  6. Step 6: Final answer
    x = 467,648.57

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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.