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Finding the Fourth Proportional to 292,366.80, 438,577.74 and 82,003.86

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Solution

The fourth proportional to 292,366.80, 438,577.74 and 82,003.86 is: 123,013.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,366.80 : 438,577.74 = 82,003.86 : x
  2. Step 2: Convert to fraction form
    292,366.80/438,577.74 = 82,003.86/x
  3. Step 3: Cross multiply
    292,366.80x = 438,577.74 × 82,003.86
  4. Step 4: Simplify right side
    292,366.80x = 35,965,067,590.08
  5. Step 5: Solve for x
    x = 35,965,067,590.08/292,366.80
  6. Step 6: Final answer
    x = 123,013.51

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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.