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Finding the Fourth Proportional to 495,711.87, 684,086.70 and 269,357.37

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Solution

The fourth proportional to 495,711.87, 684,086.70 and 269,357.37 is: 371,715.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,711.87 : 684,086.70 = 269,357.37 : x
  2. Step 2: Convert to fraction form
    495,711.87/684,086.70 = 269,357.37/x
  3. Step 3: Cross multiply
    495,711.87x = 684,086.70 × 269,357.37
  4. Step 4: Simplify right side
    495,711.87x = 184,263,794,363.98
  5. Step 5: Solve for x
    x = 184,263,794,363.98/495,711.87
  6. Step 6: Final answer
    x = 371,715.52

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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.