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Finding the Fourth Proportional to 419,709.78, 579,182.62 and 228,719.06

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Solution

The fourth proportional to 419,709.78, 579,182.62 and 228,719.06 is: 315,623.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,709.78 : 579,182.62 = 228,719.06 : x
  2. Step 2: Convert to fraction form
    419,709.78/579,182.62 = 228,719.06/x
  3. Step 3: Cross multiply
    419,709.78x = 579,182.62 × 228,719.06
  4. Step 4: Simplify right side
    419,709.78x = 132,470,104,414.74
  5. Step 5: Solve for x
    x = 132,470,104,414.74/419,709.78
  6. Step 6: Final answer
    x = 315,623.11

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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.