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Finding the Fourth Proportional to 313,899.98, 470,332.23 and 180,891.98

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Solution

The fourth proportional to 313,899.98, 470,332.23 and 180,891.98 is: 271,039.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,899.98 : 470,332.23 = 180,891.98 : x
  2. Step 2: Convert to fraction form
    313,899.98/470,332.23 = 180,891.98/x
  3. Step 3: Cross multiply
    313,899.98x = 470,332.23 × 180,891.98
  4. Step 4: Simplify right side
    313,899.98x = 85,079,328,342.52
  5. Step 5: Solve for x
    x = 85,079,328,342.52/313,899.98
  6. Step 6: Final answer
    x = 271,039.61

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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.