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Finding the Fourth Proportional to 433,781.60, 650,653.24 and 118,238.48

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Solution

The fourth proportional to 433,781.60, 650,653.24 and 118,238.48 is: 177,352.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,781.60 : 650,653.24 = 118,238.48 : x
  2. Step 2: Convert to fraction form
    433,781.60/650,653.24 = 118,238.48/x
  3. Step 3: Cross multiply
    433,781.60x = 650,653.24 × 118,238.48
  4. Step 4: Simplify right side
    433,781.60x = 76,932,250,104.68
  5. Step 5: Solve for x
    x = 76,932,250,104.68/433,781.60
  6. Step 6: Final answer
    x = 177,352.50

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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.