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Finding the Fourth Proportional to 419,621.74, 579,082.25 and 228,638.32

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Solution

The fourth proportional to 419,621.74, 579,082.25 and 228,638.32 is: 315,523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,621.74 : 579,082.25 = 228,638.32 : x
  2. Step 2: Convert to fraction form
    419,621.74/579,082.25 = 228,638.32/x
  3. Step 3: Cross multiply
    419,621.74x = 579,082.25 × 228,638.32
  4. Step 4: Simplify right side
    419,621.74x = 132,400,392,781.82
  5. Step 5: Solve for x
    x = 132,400,392,781.82/419,621.74
  6. Step 6: Final answer
    x = 315,523.20

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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.