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Finding the Fourth Proportional to 467,928.37, 701,950.88 and 152,300.53

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Solution

The fourth proportional to 467,928.37, 701,950.88 and 152,300.53 is: 228,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,928.37 : 701,950.88 = 152,300.53 : x
  2. Step 2: Convert to fraction form
    467,928.37/701,950.88 = 152,300.53/x
  3. Step 3: Cross multiply
    467,928.37x = 701,950.88 × 152,300.53
  4. Step 4: Simplify right side
    467,928.37x = 106,907,491,057.97
  5. Step 5: Solve for x
    x = 106,907,491,057.97/467,928.37
  6. Step 6: Final answer
    x = 228,469.78

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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.