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Finding the Fourth Proportional to 313,834.49, 470,717.70 and 185,763.77

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Solution

The fourth proportional to 313,834.49, 470,717.70 and 185,763.77 is: 278,625.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,834.49 : 470,717.70 = 185,763.77 : x
  2. Step 2: Convert to fraction form
    313,834.49/470,717.70 = 185,763.77/x
  3. Step 3: Cross multiply
    313,834.49x = 470,717.70 × 185,763.77
  4. Step 4: Simplify right side
    313,834.49x = 87,442,292,204.14
  5. Step 5: Solve for x
    x = 87,442,292,204.14/313,834.49
  6. Step 6: Final answer
    x = 278,625.51

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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.