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Finding the Fourth Proportional to 415,121.40, 622,682.10 and 378,379.80

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Solution

The fourth proportional to 415,121.40, 622,682.10 and 378,379.80 is: 567,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,121.40 : 622,682.10 = 378,379.80 : x
  2. Step 2: Convert to fraction form
    415,121.40/622,682.10 = 378,379.80/x
  3. Step 3: Cross multiply
    415,121.40x = 622,682.10 × 378,379.80
  4. Step 4: Simplify right side
    415,121.40x = 235,610,328,461.58
  5. Step 5: Solve for x
    x = 235,610,328,461.58/415,121.40
  6. Step 6: Final answer
    x = 567,569.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.