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Finding the Fourth Proportional to 426,536.82, 639,739.62 and 142,232.31

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Solution

The fourth proportional to 426,536.82, 639,739.62 and 142,232.31 is: 213,326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,536.82 : 639,739.62 = 142,232.31 : x
  2. Step 2: Convert to fraction form
    426,536.82/639,739.62 = 142,232.31/x
  3. Step 3: Cross multiply
    426,536.82x = 639,739.62 × 142,232.31
  4. Step 4: Simplify right side
    426,536.82x = 90,991,643,951.12
  5. Step 5: Solve for x
    x = 90,991,643,951.12/426,536.82
  6. Step 6: Final answer
    x = 213,326.59

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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.