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Finding the Fourth Proportional to 387,199.84, 580,950 and 150,708.64

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Solution

The fourth proportional to 387,199.84, 580,950 and 150,708.64 is: 226,121.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,199.84 : 580,950 = 150,708.64 : x
  2. Step 2: Convert to fraction form
    387,199.84/580,950 = 150,708.64/x
  3. Step 3: Cross multiply
    387,199.84x = 580,950 × 150,708.64
  4. Step 4: Simplify right side
    387,199.84x = 87,554,184,408.00
  5. Step 5: Solve for x
    x = 87,554,184,408.00/387,199.84
  6. Step 6: Final answer
    x = 226,121.44

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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.