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Finding the Fourth Proportional to 288,067.77, 397,533.96 and 160,743.74

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Solution

The fourth proportional to 288,067.77, 397,533.96 and 160,743.74 is: 221,826.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,067.77 : 397,533.96 = 160,743.74 : x
  2. Step 2: Convert to fraction form
    288,067.77/397,533.96 = 160,743.74/x
  3. Step 3: Cross multiply
    288,067.77x = 397,533.96 × 160,743.74
  4. Step 4: Simplify right side
    288,067.77x = 63,901,093,519.74
  5. Step 5: Solve for x
    x = 63,901,093,519.74/288,067.77
  6. Step 6: Final answer
    x = 221,826.60

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1.5x scale

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.