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Finding the Fourth Proportional to 313,063.92, 469,391.64 and 206,124.18

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Solution

The fourth proportional to 313,063.92, 469,391.64 and 206,124.18 is: 309,051.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,063.92 : 469,391.64 = 206,124.18 : x
  2. Step 2: Convert to fraction form
    313,063.92/469,391.64 = 206,124.18/x
  3. Step 3: Cross multiply
    313,063.92x = 469,391.64 × 206,124.18
  4. Step 4: Simplify right side
    313,063.92x = 96,752,966,893.86
  5. Step 5: Solve for x
    x = 96,752,966,893.86/313,063.92
  6. Step 6: Final answer
    x = 309,051.80

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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.