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Finding the Fourth Proportional to 441,654.46, 662,388.81 and 142,161.82

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Solution

The fourth proportional to 441,654.46, 662,388.81 and 142,161.82 is: 213,212.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,654.46 : 662,388.81 = 142,161.82 : x
  2. Step 2: Convert to fraction form
    441,654.46/662,388.81 = 142,161.82/x
  3. Step 3: Cross multiply
    441,654.46x = 662,388.81 × 142,161.82
  4. Step 4: Simplify right side
    441,654.46x = 94,166,398,777.23
  5. Step 5: Solve for x
    x = 94,166,398,777.23/441,654.46
  6. Step 6: Final answer
    x = 213,212.83

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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.