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Finding the Fourth Proportional to 313,366.20, 470,250.90 and 173,225.40

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Solution

The fourth proportional to 313,366.20, 470,250.90 and 173,225.40 is: 259,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,366.20 : 470,250.90 = 173,225.40 : x
  2. Step 2: Convert to fraction form
    313,366.20/470,250.90 = 173,225.40/x
  3. Step 3: Cross multiply
    313,366.20x = 470,250.90 × 173,225.40
  4. Step 4: Simplify right side
    313,366.20x = 81,459,400,252.86
  5. Step 5: Solve for x
    x = 81,459,400,252.86/313,366.20
  6. Step 6: Final answer
    x = 259,949.54

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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.