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Finding the Fourth Proportional to 387,094.30, 580,491.69 and 150,405.82

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Solution

The fourth proportional to 387,094.30, 580,491.69 and 150,405.82 is: 225,550.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,094.30 : 580,491.69 = 150,405.82 : x
  2. Step 2: Convert to fraction form
    387,094.30/580,491.69 = 150,405.82/x
  3. Step 3: Cross multiply
    387,094.30x = 580,491.69 × 150,405.82
  4. Step 4: Simplify right side
    387,094.30x = 87,309,328,637.64
  5. Step 5: Solve for x
    x = 87,309,328,637.64/387,094.30
  6. Step 6: Final answer
    x = 225,550.54

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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.