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Finding the Fourth Proportional to 278,977.44, 384,996.84 and 170,088.06

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Solution

The fourth proportional to 278,977.44, 384,996.84 and 170,088.06 is: 234,726.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,977.44 : 384,996.84 = 170,088.06 : x
  2. Step 2: Convert to fraction form
    278,977.44/384,996.84 = 170,088.06/x
  3. Step 3: Cross multiply
    278,977.44x = 384,996.84 × 170,088.06
  4. Step 4: Simplify right side
    278,977.44x = 65,483,365,621.73
  5. Step 5: Solve for x
    x = 65,483,365,621.73/278,977.44
  6. Step 6: Final answer
    x = 234,726.38

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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.