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Finding the Fourth Proportional to 299,279.24, 412,435.50 and 214,248.68

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Solution

The fourth proportional to 299,279.24, 412,435.50 and 214,248.68 is: 295,255.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,279.24 : 412,435.50 = 214,248.68 : x
  2. Step 2: Convert to fraction form
    299,279.24/412,435.50 = 214,248.68/x
  3. Step 3: Cross multiply
    299,279.24x = 412,435.50 × 214,248.68
  4. Step 4: Simplify right side
    299,279.24x = 88,363,761,460.14
  5. Step 5: Solve for x
    x = 88,363,761,460.14/299,279.24
  6. Step 6: Final answer
    x = 295,255.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.