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Finding the Fourth Proportional to 495,726, 684,100.50 and 269,371.44

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Solution

The fourth proportional to 495,726, 684,100.50 and 269,371.44 is: 371,731.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,726 : 684,100.50 = 269,371.44 : x
  2. Step 2: Convert to fraction form
    495,726/684,100.50 = 269,371.44/x
  3. Step 3: Cross multiply
    495,726x = 684,100.50 × 269,371.44
  4. Step 4: Simplify right side
    495,726x = 184,277,136,789.72
  5. Step 5: Solve for x
    x = 184,277,136,789.72/495,726
  6. Step 6: Final answer
    x = 371,731.84

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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.