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Finding the Fourth Proportional to 387,142.41, 580,487.61 and 150,208.32

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Solution

The fourth proportional to 387,142.41, 580,487.61 and 150,208.32 is: 225,224.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,142.41 : 580,487.61 = 150,208.32 : x
  2. Step 2: Convert to fraction form
    387,142.41/580,487.61 = 150,208.32/x
  3. Step 3: Cross multiply
    387,142.41x = 580,487.61 × 150,208.32
  4. Step 4: Simplify right side
    387,142.41x = 87,194,068,678.92
  5. Step 5: Solve for x
    x = 87,194,068,678.92/387,142.41
  6. Step 6: Final answer
    x = 225,224.79

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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.