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Finding the Fourth Proportional to 410,082.14, 565,912.58 and 228,783.29

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Solution

The fourth proportional to 410,082.14, 565,912.58 and 228,783.29 is: 315,720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,082.14 : 565,912.58 = 228,783.29 : x
  2. Step 2: Convert to fraction form
    410,082.14/565,912.58 = 228,783.29/x
  3. Step 3: Cross multiply
    410,082.14x = 565,912.58 × 228,783.29
  4. Step 4: Simplify right side
    410,082.14x = 129,471,337,931.31
  5. Step 5: Solve for x
    x = 129,471,337,931.31/410,082.14
  6. Step 6: Final answer
    x = 315,720.50

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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.