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Finding the Fourth Proportional to 349,314.66, 523,533.60 and 149,400

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Solution

The fourth proportional to 349,314.66, 523,533.60 and 149,400 is: 223,912.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,314.66 : 523,533.60 = 149,400 : x
  2. Step 2: Convert to fraction form
    349,314.66/523,533.60 = 149,400/x
  3. Step 3: Cross multiply
    349,314.66x = 523,533.60 × 149,400
  4. Step 4: Simplify right side
    349,314.66x = 78,215,919,840
  5. Step 5: Solve for x
    x = 78,215,919,840/349,314.66
  6. Step 6: Final answer
    x = 223,912.50

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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.