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Finding the Fourth Proportional to 313,891.80, 470,894.10 and 114,491.92

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Solution

The fourth proportional to 313,891.80, 470,894.10 and 114,491.92 is: 171,758.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,891.80 : 470,894.10 = 114,491.92 : x
  2. Step 2: Convert to fraction form
    313,891.80/470,894.10 = 114,491.92/x
  3. Step 3: Cross multiply
    313,891.80x = 470,894.10 × 114,491.92
  4. Step 4: Simplify right side
    313,891.80x = 53,913,569,625.67
  5. Step 5: Solve for x
    x = 53,913,569,625.67/313,891.80
  6. Step 6: Final answer
    x = 171,758.45

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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.