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Finding the Fourth Proportional to 419,778.33, 629,761.05 and 153,532.95

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Solution

The fourth proportional to 419,778.33, 629,761.05 and 153,532.95 is: 230,333.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,778.33 : 629,761.05 = 153,532.95 : x
  2. Step 2: Convert to fraction form
    419,778.33/629,761.05 = 153,532.95/x
  3. Step 3: Cross multiply
    419,778.33x = 629,761.05 × 153,532.95
  4. Step 4: Simplify right side
    419,778.33x = 96,689,071,801.60
  5. Step 5: Solve for x
    x = 96,689,071,801.60/419,778.33
  6. Step 6: Final answer
    x = 230,333.64

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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.