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Finding the Fourth Proportional to 298,719.17, 412,384.79 and 202,431.71

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Solution

The fourth proportional to 298,719.17, 412,384.79 and 202,431.71 is: 279,458.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,719.17 : 412,384.79 = 202,431.71 : x
  2. Step 2: Convert to fraction form
    298,719.17/412,384.79 = 202,431.71/x
  3. Step 3: Cross multiply
    298,719.17x = 412,384.79 × 202,431.71
  4. Step 4: Simplify right side
    298,719.17x = 83,479,755,143.61
  5. Step 5: Solve for x
    x = 83,479,755,143.61/298,719.17
  6. Step 6: Final answer
    x = 279,458.99

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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.