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Finding the Fourth Proportional to 419,719.38, 579,211.74 and 228,732.30

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Solution

The fourth proportional to 419,719.38, 579,211.74 and 228,732.30 is: 315,650.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,719.38 : 579,211.74 = 228,732.30 : x
  2. Step 2: Convert to fraction form
    419,719.38/579,211.74 = 228,732.30/x
  3. Step 3: Cross multiply
    419,719.38x = 579,211.74 × 228,732.30
  4. Step 4: Simplify right side
    419,719.38x = 132,484,433,477.20
  5. Step 5: Solve for x
    x = 132,484,433,477.20/419,719.38
  6. Step 6: Final answer
    x = 315,650.03

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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.