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Finding the Fourth Proportional to 492,761.96, 739,142.40 and 118,784.96

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Solution

The fourth proportional to 492,761.96, 739,142.40 and 118,784.96 is: 178,177.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,761.96 : 739,142.40 = 118,784.96 : x
  2. Step 2: Convert to fraction form
    492,761.96/739,142.40 = 118,784.96/x
  3. Step 3: Cross multiply
    492,761.96x = 739,142.40 × 118,784.96
  4. Step 4: Simplify right side
    492,761.96x = 87,799,000,418.30
  5. Step 5: Solve for x
    x = 87,799,000,418.30/492,761.96
  6. Step 6: Final answer
    x = 178,177.31

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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.