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Finding the Fourth Proportional to 290,594.25, 401,024.85 and 159,777.44

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Solution

The fourth proportional to 290,594.25, 401,024.85 and 159,777.44 is: 220,495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,594.25 : 401,024.85 = 159,777.44 : x
  2. Step 2: Convert to fraction form
    290,594.25/401,024.85 = 159,777.44/x
  3. Step 3: Cross multiply
    290,594.25x = 401,024.85 × 159,777.44
  4. Step 4: Simplify right side
    290,594.25x = 64,074,722,130.43
  5. Step 5: Solve for x
    x = 64,074,722,130.43/290,594.25
  6. Step 6: Final answer
    x = 220,495.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.