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Finding the Fourth Proportional to 349,295.41, 523,504.80 and 149,380.73

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Solution

The fourth proportional to 349,295.41, 523,504.80 and 149,380.73 is: 223,883.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,295.41 : 523,504.80 = 149,380.73 : x
  2. Step 2: Convert to fraction form
    349,295.41/523,504.80 = 149,380.73/x
  3. Step 3: Cross multiply
    349,295.41x = 523,504.80 × 149,380.73
  4. Step 4: Simplify right side
    349,295.41x = 78,201,529,182.50
  5. Step 5: Solve for x
    x = 78,201,529,182.50/349,295.41
  6. Step 6: Final answer
    x = 223,883.64

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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.