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Finding the Fourth Proportional to 292,367.80, 438,579.24 and 82,004.86

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Solution

The fourth proportional to 292,367.80, 438,579.24 and 82,004.86 is: 123,015.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,367.80 : 438,579.24 = 82,004.86 : x
  2. Step 2: Convert to fraction form
    292,367.80/438,579.24 = 82,004.86/x
  3. Step 3: Cross multiply
    292,367.80x = 438,579.24 × 82,004.86
  4. Step 4: Simplify right side
    292,367.80x = 35,965,629,175.11
  5. Step 5: Solve for x
    x = 35,965,629,175.11/292,367.80
  6. Step 6: Final answer
    x = 123,015.01

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Why These Related Problems?

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