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Finding the Fourth Proportional to 422,312.16, 582,800.22 and 241,020.48

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Solution

The fourth proportional to 422,312.16, 582,800.22 and 241,020.48 is: 332,613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,312.16 : 582,800.22 = 241,020.48 : x
  2. Step 2: Convert to fraction form
    422,312.16/582,800.22 = 241,020.48/x
  3. Step 3: Cross multiply
    422,312.16x = 582,800.22 × 241,020.48
  4. Step 4: Simplify right side
    422,312.16x = 140,466,788,768.51
  5. Step 5: Solve for x
    x = 140,466,788,768.51/422,312.16
  6. Step 6: Final answer
    x = 332,613.65

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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.