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Finding the Fourth Proportional to 275,439, 413,227.62 and 78,447

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Solution

The fourth proportional to 275,439, 413,227.62 and 78,447 is: 117,690.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,439 : 413,227.62 = 78,447 : x
  2. Step 2: Convert to fraction form
    275,439/413,227.62 = 78,447/x
  3. Step 3: Cross multiply
    275,439x = 413,227.62 × 78,447
  4. Step 4: Simplify right side
    275,439x = 32,416,467,106.14
  5. Step 5: Solve for x
    x = 32,416,467,106.14/275,439
  6. Step 6: Final answer
    x = 117,690.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.