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Finding the Fourth Proportional to 387,050.53, 580,612.44 and 150,411.46

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Solution

The fourth proportional to 387,050.53, 580,612.44 and 150,411.46 is: 225,631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,050.53 : 580,612.44 = 150,411.46 : x
  2. Step 2: Convert to fraction form
    387,050.53/580,612.44 = 150,411.46/x
  3. Step 3: Cross multiply
    387,050.53x = 580,612.44 × 150,411.46
  4. Step 4: Simplify right side
    387,050.53x = 87,330,764,794.56
  5. Step 5: Solve for x
    x = 87,330,764,794.56/387,050.53
  6. Step 6: Final answer
    x = 225,631.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.