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Finding the Fourth Proportional to 422,364, 582,904.11 and 241,103.16

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Solution

The fourth proportional to 422,364, 582,904.11 and 241,103.16 is: 332,746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,364 : 582,904.11 = 241,103.16 : x
  2. Step 2: Convert to fraction form
    422,364/582,904.11 = 241,103.16/x
  3. Step 3: Cross multiply
    422,364x = 582,904.11 × 241,103.16
  4. Step 4: Simplify right side
    422,364x = 140,540,022,897.99
  5. Step 5: Solve for x
    x = 140,540,022,897.99/422,364
  6. Step 6: Final answer
    x = 332,746.22

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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.