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Finding the Fourth Proportional to 419,984.84, 579,579.66 and 228,998.23

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Solution

The fourth proportional to 419,984.84, 579,579.66 and 228,998.23 is: 316,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,984.84 : 579,579.66 = 228,998.23 : x
  2. Step 2: Convert to fraction form
    419,984.84/579,579.66 = 228,998.23/x
  3. Step 3: Cross multiply
    419,984.84x = 579,579.66 × 228,998.23
  4. Step 4: Simplify right side
    419,984.84x = 132,722,714,835.05
  5. Step 5: Solve for x
    x = 132,722,714,835.05/419,984.84
  6. Step 6: Final answer
    x = 316,017.87

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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.