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Finding the Fourth Proportional to 313,492.92, 470,239.38 and 103,074.36

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Solution

The fourth proportional to 313,492.92, 470,239.38 and 103,074.36 is: 154,611.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,492.92 : 470,239.38 = 103,074.36 : x
  2. Step 2: Convert to fraction form
    313,492.92/470,239.38 = 103,074.36/x
  3. Step 3: Cross multiply
    313,492.92x = 470,239.38 × 103,074.36
  4. Step 4: Simplify right side
    313,492.92x = 48,469,623,140.30
  5. Step 5: Solve for x
    x = 48,469,623,140.30/313,492.92
  6. Step 6: Final answer
    x = 154,611.54

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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.