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Finding the Fourth Proportional to 495,738.54, 684,119.25 and 269,383.50

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Solution

The fourth proportional to 495,738.54, 684,119.25 and 269,383.50 is: 371,749.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,738.54 : 684,119.25 = 269,383.50 : x
  2. Step 2: Convert to fraction form
    495,738.54/684,119.25 = 269,383.50/x
  3. Step 3: Cross multiply
    495,738.54x = 684,119.25 × 269,383.50
  4. Step 4: Simplify right side
    495,738.54x = 184,290,437,982.38
  5. Step 5: Solve for x
    x = 184,290,437,982.38/495,738.54
  6. Step 6: Final answer
    x = 371,749.27

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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.