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Finding the Fourth Proportional to 422,126.47, 582,535.46 and 228,536.22

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Solution

The fourth proportional to 422,126.47, 582,535.46 and 228,536.22 is: 315,380.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,126.47 : 582,535.46 = 228,536.22 : x
  2. Step 2: Convert to fraction form
    422,126.47/582,535.46 = 228,536.22/x
  3. Step 3: Cross multiply
    422,126.47x = 582,535.46 × 228,536.22
  4. Step 4: Simplify right side
    422,126.47x = 133,130,452,044.36
  5. Step 5: Solve for x
    x = 133,130,452,044.36/422,126.47
  6. Step 6: Final answer
    x = 315,380.49

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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.