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Finding the Fourth Proportional to 313,063.39, 469,390.92 and 206,123.68

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Solution

The fourth proportional to 313,063.39, 469,390.92 and 206,123.68 is: 309,051.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,063.39 : 469,390.92 = 206,123.68 : x
  2. Step 2: Convert to fraction form
    313,063.39/469,390.92 = 206,123.68/x
  3. Step 3: Cross multiply
    313,063.39x = 469,390.92 × 206,123.68
  4. Step 4: Simplify right side
    313,063.39x = 96,752,583,788.99
  5. Step 5: Solve for x
    x = 96,752,583,788.99/313,063.39
  6. Step 6: Final answer
    x = 309,051.10

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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.