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Finding the Fourth Proportional to 421,897.84, 582,216.93 and 228,305.41

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Solution

The fourth proportional to 421,897.84, 582,216.93 and 228,305.41 is: 315,060.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,897.84 : 582,216.93 = 228,305.41 : x
  2. Step 2: Convert to fraction form
    421,897.84/582,216.93 = 228,305.41/x
  3. Step 3: Cross multiply
    421,897.84x = 582,216.93 × 228,305.41
  4. Step 4: Simplify right side
    421,897.84x = 132,923,273,457.05
  5. Step 5: Solve for x
    x = 132,923,273,457.05/421,897.84
  6. Step 6: Final answer
    x = 315,060.33

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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.