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Finding the Fourth Proportional to 410,097.18, 565,977.87 and 228,872.10

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Solution

The fourth proportional to 410,097.18, 565,977.87 and 228,872.10 is: 315,867.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,097.18 : 565,977.87 = 228,872.10 : x
  2. Step 2: Convert to fraction form
    410,097.18/565,977.87 = 228,872.10/x
  3. Step 3: Cross multiply
    410,097.18x = 565,977.87 × 228,872.10
  4. Step 4: Simplify right side
    410,097.18x = 129,536,543,660.43
  5. Step 5: Solve for x
    x = 129,536,543,660.43/410,097.18
  6. Step 6: Final answer
    x = 315,867.92

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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.