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Finding the Fourth Proportional to 295,371.60, 407,611.76 and 166,310.06

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Solution

The fourth proportional to 295,371.60, 407,611.76 and 166,310.06 is: 229,507.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,371.60 : 407,611.76 = 166,310.06 : x
  2. Step 2: Convert to fraction form
    295,371.60/407,611.76 = 166,310.06/x
  3. Step 3: Cross multiply
    295,371.60x = 407,611.76 × 166,310.06
  4. Step 4: Simplify right side
    295,371.60x = 67,789,936,262.31
  5. Step 5: Solve for x
    x = 67,789,936,262.31/295,371.60
  6. Step 6: Final answer
    x = 229,507.29

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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.