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Finding the Fourth Proportional to 270,586.40, 405,879.60 and 83,616.80

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Solution

The fourth proportional to 270,586.40, 405,879.60 and 83,616.80 is: 125,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,586.40 : 405,879.60 = 83,616.80 : x
  2. Step 2: Convert to fraction form
    270,586.40/405,879.60 = 83,616.80/x
  3. Step 3: Cross multiply
    270,586.40x = 405,879.60 × 83,616.80
  4. Step 4: Simplify right side
    270,586.40x = 33,938,353,337.28
  5. Step 5: Solve for x
    x = 33,938,353,337.28/270,586.40
  6. Step 6: Final answer
    x = 125,425.20

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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.