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Finding the Fourth Proportional to 296,279, 444,418.50 and 74,663

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Solution

The fourth proportional to 296,279, 444,418.50 and 74,663 is: 111,994.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,279 : 444,418.50 = 74,663 : x
  2. Step 2: Convert to fraction form
    296,279/444,418.50 = 74,663/x
  3. Step 3: Cross multiply
    296,279x = 444,418.50 × 74,663
  4. Step 4: Simplify right side
    296,279x = 33,181,618,465.50
  5. Step 5: Solve for x
    x = 33,181,618,465.50/296,279
  6. Step 6: Final answer
    x = 111,994.50

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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.