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Finding the Fourth Proportional to 299,978.13, 413,976.35 and 179,096.87

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Solution

The fourth proportional to 299,978.13, 413,976.35 and 179,096.87 is: 247,157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,978.13 : 413,976.35 = 179,096.87 : x
  2. Step 2: Convert to fraction form
    299,978.13/413,976.35 = 179,096.87/x
  3. Step 3: Cross multiply
    299,978.13x = 413,976.35 × 179,096.87
  4. Step 4: Simplify right side
    299,978.13x = 74,141,868,539.02
  5. Step 5: Solve for x
    x = 74,141,868,539.02/299,978.13
  6. Step 6: Final answer
    x = 247,157.58

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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.