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Finding the Fourth Proportional to 495,691.50, 684,058.42 and 269,337

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Solution

The fourth proportional to 495,691.50, 684,058.42 and 269,337 is: 371,687.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,691.50 : 684,058.42 = 269,337 : x
  2. Step 2: Convert to fraction form
    495,691.50/684,058.42 = 269,337/x
  3. Step 3: Cross multiply
    495,691.50x = 684,058.42 × 269,337
  4. Step 4: Simplify right side
    495,691.50x = 184,242,242,667.54
  5. Step 5: Solve for x
    x = 184,242,242,667.54/495,691.50
  6. Step 6: Final answer
    x = 371,687.31

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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.