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Finding the Fourth Proportional to 415,098.40, 622,647.60 and 273,380.80

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Solution

The fourth proportional to 415,098.40, 622,647.60 and 273,380.80 is: 410,071.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,098.40 : 622,647.60 = 273,380.80 : x
  2. Step 2: Convert to fraction form
    415,098.40/622,647.60 = 273,380.80/x
  3. Step 3: Cross multiply
    415,098.40x = 622,647.60 × 273,380.80
  4. Step 4: Simplify right side
    415,098.40x = 170,219,899,006.08
  5. Step 5: Solve for x
    x = 170,219,899,006.08/415,098.40
  6. Step 6: Final answer
    x = 410,071.20

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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.