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Finding the Fourth Proportional to 421,883.70, 582,201.05 and 228,291.41

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Solution

The fourth proportional to 421,883.70, 582,201.05 and 228,291.41 is: 315,042.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,883.70 : 582,201.05 = 228,291.41 : x
  2. Step 2: Convert to fraction form
    421,883.70/582,201.05 = 228,291.41/x
  3. Step 3: Cross multiply
    421,883.70x = 582,201.05 × 228,291.41
  4. Step 4: Simplify right side
    421,883.70x = 132,911,500,206.17
  5. Step 5: Solve for x
    x = 132,911,500,206.17/421,883.70
  6. Step 6: Final answer
    x = 315,042.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.