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Finding the Fourth Proportional to 313,069.92, 469,400.64 and 206,130.20

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Solution

The fourth proportional to 313,069.92, 469,400.64 and 206,130.20 is: 309,060.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,069.92 : 469,400.64 = 206,130.20 : x
  2. Step 2: Convert to fraction form
    313,069.92/469,400.64 = 206,130.20/x
  3. Step 3: Cross multiply
    313,069.92x = 469,400.64 × 206,130.20
  4. Step 4: Simplify right side
    313,069.92x = 96,757,647,803.33
  5. Step 5: Solve for x
    x = 96,757,647,803.33/313,069.92
  6. Step 6: Final answer
    x = 309,060.83

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1.5x scale

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.