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Finding the Fourth Proportional to 313,937.37, 470,905.97 and 92,321.37

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Solution

The fourth proportional to 313,937.37, 470,905.97 and 92,321.37 is: 138,482.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,937.37 : 470,905.97 = 92,321.37 : x
  2. Step 2: Convert to fraction form
    313,937.37/470,905.97 = 92,321.37/x
  3. Step 3: Cross multiply
    313,937.37x = 470,905.97 × 92,321.37
  4. Step 4: Simplify right side
    313,937.37x = 43,474,683,829.97
  5. Step 5: Solve for x
    x = 43,474,683,829.97/313,937.37
  6. Step 6: Final answer
    x = 138,482.03

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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.