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Finding the Fourth Proportional to 313,063.89, 469,391.67 and 206,124.18

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Solution

The fourth proportional to 313,063.89, 469,391.67 and 206,124.18 is: 309,051.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,063.89 : 469,391.67 = 206,124.18 : x
  2. Step 2: Convert to fraction form
    313,063.89/469,391.67 = 206,124.18/x
  3. Step 3: Cross multiply
    313,063.89x = 469,391.67 × 206,124.18
  4. Step 4: Simplify right side
    313,063.89x = 96,752,973,077.58
  5. Step 5: Solve for x
    x = 96,752,973,077.58/313,063.89
  6. Step 6: Final answer
    x = 309,051.85

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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.