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Finding the Fourth Proportional to 307,454.50, 461,321.86 and 157,799.86

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Solution

The fourth proportional to 307,454.50, 461,321.86 and 157,799.86 is: 236,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,454.50 : 461,321.86 = 157,799.86 : x
  2. Step 2: Convert to fraction form
    307,454.50/461,321.86 = 157,799.86/x
  3. Step 3: Cross multiply
    307,454.50x = 461,321.86 × 157,799.86
  4. Step 4: Simplify right side
    307,454.50x = 72,796,524,922.94
  5. Step 5: Solve for x
    x = 72,796,524,922.94/307,454.50
  6. Step 6: Final answer
    x = 236,771.70

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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.