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Finding the Fourth Proportional to 365,917.44, 548,799.36 and 103,200

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Solution

The fourth proportional to 365,917.44, 548,799.36 and 103,200 is: 154,778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,917.44 : 548,799.36 = 103,200 : x
  2. Step 2: Convert to fraction form
    365,917.44/548,799.36 = 103,200/x
  3. Step 3: Cross multiply
    365,917.44x = 548,799.36 × 103,200
  4. Step 4: Simplify right side
    365,917.44x = 56,636,093,952
  5. Step 5: Solve for x
    x = 56,636,093,952/365,917.44
  6. Step 6: Final answer
    x = 154,778.34

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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.