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Finding the Fourth Proportional to 397,109.86, 595,678.82 and 127,202.92

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Solution

The fourth proportional to 397,109.86, 595,678.82 and 127,202.92 is: 190,808.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,109.86 : 595,678.82 = 127,202.92 : x
  2. Step 2: Convert to fraction form
    397,109.86/595,678.82 = 127,202.92/x
  3. Step 3: Cross multiply
    397,109.86x = 595,678.82 × 127,202.92
  4. Step 4: Simplify right side
    397,109.86x = 75,772,085,286.15
  5. Step 5: Solve for x
    x = 75,772,085,286.15/397,109.86
  6. Step 6: Final answer
    x = 190,808.87

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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.