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Finding the Fourth Proportional to 313,892.30, 470,838.46 and 114,219.20

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Solution

The fourth proportional to 313,892.30, 470,838.46 and 114,219.20 is: 171,328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,892.30 : 470,838.46 = 114,219.20 : x
  2. Step 2: Convert to fraction form
    313,892.30/470,838.46 = 114,219.20/x
  3. Step 3: Cross multiply
    313,892.30x = 470,838.46 × 114,219.20
  4. Step 4: Simplify right side
    313,892.30x = 53,778,792,230.43
  5. Step 5: Solve for x
    x = 53,778,792,230.43/313,892.30
  6. Step 6: Final answer
    x = 171,328.80

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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.