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Finding the Fourth Proportional to 441,679.14, 662,379.24 and 142,092.96

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Solution

The fourth proportional to 441,679.14, 662,379.24 and 142,092.96 is: 213,094.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,679.14 : 662,379.24 = 142,092.96 : x
  2. Step 2: Convert to fraction form
    441,679.14/662,379.24 = 142,092.96/x
  3. Step 3: Cross multiply
    441,679.14x = 662,379.24 × 142,092.96
  4. Step 4: Simplify right side
    441,679.14x = 94,119,426,854.15
  5. Step 5: Solve for x
    x = 94,119,426,854.15/441,679.14
  6. Step 6: Final answer
    x = 213,094.57

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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.