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Finding the Fourth Proportional to 320,598, 442,601.82 and 239,996.52

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Solution

The fourth proportional to 320,598, 442,601.82 and 239,996.52 is: 331,327.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,598 : 442,601.82 = 239,996.52 : x
  2. Step 2: Convert to fraction form
    320,598/442,601.82 = 239,996.52/x
  3. Step 3: Cross multiply
    320,598x = 442,601.82 × 239,996.52
  4. Step 4: Simplify right side
    320,598x = 106,222,896,545.67
  5. Step 5: Solve for x
    x = 106,222,896,545.67/320,598
  6. Step 6: Final answer
    x = 331,327.38

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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.