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Finding the Fourth Proportional to 422,188.52, 582,621 and 228,598.25

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Solution

The fourth proportional to 422,188.52, 582,621 and 228,598.25 is: 315,466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,188.52 : 582,621 = 228,598.25 : x
  2. Step 2: Convert to fraction form
    422,188.52/582,621 = 228,598.25/x
  3. Step 3: Cross multiply
    422,188.52x = 582,621 × 228,598.25
  4. Step 4: Simplify right side
    422,188.52x = 133,186,141,013.25
  5. Step 5: Solve for x
    x = 133,186,141,013.25/422,188.52
  6. Step 6: Final answer
    x = 315,466.04

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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.