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Finding the Fourth Proportional to 495,858.92, 684,286.26 and 269,503.88

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Solution

The fourth proportional to 495,858.92, 684,286.26 and 269,503.88 is: 371,915.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,858.92 : 684,286.26 = 269,503.88 : x
  2. Step 2: Convert to fraction form
    495,858.92/684,286.26 = 269,503.88/x
  3. Step 3: Cross multiply
    495,858.92x = 684,286.26 × 269,503.88
  4. Step 4: Simplify right side
    495,858.92x = 184,417,802,100.69
  5. Step 5: Solve for x
    x = 184,417,802,100.69/495,858.92
  6. Step 6: Final answer
    x = 371,915.87

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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.