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Finding the Fourth Proportional to 495,879.92, 684,315.24 and 269,524.88

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Solution

The fourth proportional to 495,879.92, 684,315.24 and 269,524.88 is: 371,944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,879.92 : 684,315.24 = 269,524.88 : x
  2. Step 2: Convert to fraction form
    495,879.92/684,315.24 = 269,524.88/x
  3. Step 3: Cross multiply
    495,879.92x = 684,315.24 × 269,524.88
  4. Step 4: Simplify right side
    495,879.92x = 184,439,982,943.17
  5. Step 5: Solve for x
    x = 184,439,982,943.17/495,879.92
  6. Step 6: Final answer
    x = 371,944.85

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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.