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Finding the Fourth Proportional to 265,067.40, 397,464.90 and 78,054.60

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Solution

The fourth proportional to 265,067.40, 397,464.90 and 78,054.60 is: 117,041.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,067.40 : 397,464.90 = 78,054.60 : x
  2. Step 2: Convert to fraction form
    265,067.40/397,464.90 = 78,054.60/x
  3. Step 3: Cross multiply
    265,067.40x = 397,464.90 × 78,054.60
  4. Step 4: Simplify right side
    265,067.40x = 31,023,963,783.54
  5. Step 5: Solve for x
    x = 31,023,963,783.54/265,067.40
  6. Step 6: Final answer
    x = 117,041.79

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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.