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Finding the Fourth Proportional to 307,451.86, 461,317.91 and 157,797.24

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Solution

The fourth proportional to 307,451.86, 461,317.91 and 157,797.24 is: 236,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,451.86 : 461,317.91 = 157,797.24 : x
  2. Step 2: Convert to fraction form
    307,451.86/461,317.91 = 157,797.24/x
  3. Step 3: Cross multiply
    307,451.86x = 461,317.91 × 157,797.24
  4. Step 4: Simplify right side
    307,451.86x = 72,794,692,960.57
  5. Step 5: Solve for x
    x = 72,794,692,960.57/307,451.86
  6. Step 6: Final answer
    x = 236,767.78

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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.