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Finding the Fourth Proportional to 422,095.89, 582,487.91 and 228,499.26

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Solution

The fourth proportional to 422,095.89, 582,487.91 and 228,499.26 is: 315,326.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,095.89 : 582,487.91 = 228,499.26 : x
  2. Step 2: Convert to fraction form
    422,095.89/582,487.91 = 228,499.26/x
  3. Step 3: Cross multiply
    422,095.89x = 582,487.91 × 228,499.26
  4. Step 4: Simplify right side
    422,095.89x = 133,098,055,251.45
  5. Step 5: Solve for x
    x = 133,098,055,251.45/422,095.89
  6. Step 6: Final answer
    x = 315,326.58

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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.