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Finding the Fourth Proportional to 495,709.11, 684,082.90 and 269,354.61

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Solution

The fourth proportional to 495,709.11, 684,082.90 and 269,354.61 is: 371,711.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,709.11 : 684,082.90 = 269,354.61 : x
  2. Step 2: Convert to fraction form
    495,709.11/684,082.90 = 269,354.61/x
  3. Step 3: Cross multiply
    495,709.11x = 684,082.90 × 269,354.61
  4. Step 4: Simplify right side
    495,709.11x = 184,260,882,737.17
  5. Step 5: Solve for x
    x = 184,260,882,737.17/495,709.11
  6. Step 6: Final answer
    x = 371,711.71

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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.