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Finding the Fourth Proportional to 313,796.50, 470,694.75 and 92,180.50

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Solution

The fourth proportional to 313,796.50, 470,694.75 and 92,180.50 is: 138,270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,796.50 : 470,694.75 = 92,180.50 : x
  2. Step 2: Convert to fraction form
    313,796.50/470,694.75 = 92,180.50/x
  3. Step 3: Cross multiply
    313,796.50x = 470,694.75 × 92,180.50
  4. Step 4: Simplify right side
    313,796.50x = 43,388,877,402.38
  5. Step 5: Solve for x
    x = 43,388,877,402.38/313,796.50
  6. Step 6: Final answer
    x = 138,270.75

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1.5x scale

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.