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Finding the Fourth Proportional to 325,109.85, 448,665.32 and 200,958.42

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Solution

The fourth proportional to 325,109.85, 448,665.32 and 200,958.42 is: 277,331.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,109.85 : 448,665.32 = 200,958.42 : x
  2. Step 2: Convert to fraction form
    325,109.85/448,665.32 = 200,958.42/x
  3. Step 3: Cross multiply
    325,109.85x = 448,665.32 × 200,958.42
  4. Step 4: Simplify right side
    325,109.85x = 90,163,072,635.90
  5. Step 5: Solve for x
    x = 90,163,072,635.90/325,109.85
  6. Step 6: Final answer
    x = 277,331.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.