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Finding the Fourth Proportional to 307,540.52, 461,155.26 and 157,748.84

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Solution

The fourth proportional to 307,540.52, 461,155.26 and 157,748.84 is: 236,543.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,540.52 : 461,155.26 = 157,748.84 : x
  2. Step 2: Convert to fraction form
    307,540.52/461,155.26 = 157,748.84/x
  3. Step 3: Cross multiply
    307,540.52x = 461,155.26 × 157,748.84
  4. Step 4: Simplify right side
    307,540.52x = 72,746,707,324.90
  5. Step 5: Solve for x
    x = 72,746,707,324.90/307,540.52
  6. Step 6: Final answer
    x = 236,543.49

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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.