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Finding the Fourth Proportional to 387,251.84, 580,913.64 and 150,612.32

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Solution

The fourth proportional to 387,251.84, 580,913.64 and 150,612.32 is: 225,932.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,251.84 : 580,913.64 = 150,612.32 : x
  2. Step 2: Convert to fraction form
    387,251.84/580,913.64 = 150,612.32/x
  3. Step 3: Cross multiply
    387,251.84x = 580,913.64 × 150,612.32
  4. Step 4: Simplify right side
    387,251.84x = 87,492,751,040.04
  5. Step 5: Solve for x
    x = 87,492,751,040.04/387,251.84
  6. Step 6: Final answer
    x = 225,932.43

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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.