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Finding the Fourth Proportional to 313,746.66, 470,121.84 and 187,087.77

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Solution

The fourth proportional to 313,746.66, 470,121.84 and 187,087.77 is: 280,334.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,746.66 : 470,121.84 = 187,087.77 : x
  2. Step 2: Convert to fraction form
    313,746.66/470,121.84 = 187,087.77/x
  3. Step 3: Cross multiply
    313,746.66x = 470,121.84 × 187,087.77
  4. Step 4: Simplify right side
    313,746.66x = 87,954,046,673.90
  5. Step 5: Solve for x
    x = 87,954,046,673.90/313,746.66
  6. Step 6: Final answer
    x = 280,334.61

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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.