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Finding the Fourth Proportional to 495,717.16, 684,093.78 and 269,362.66

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Solution

The fourth proportional to 495,717.16, 684,093.78 and 269,362.66 is: 371,722.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,717.16 : 684,093.78 = 269,362.66 : x
  2. Step 2: Convert to fraction form
    495,717.16/684,093.78 = 269,362.66/x
  3. Step 3: Cross multiply
    495,717.16x = 684,093.78 × 269,362.66
  4. Step 4: Simplify right side
    495,717.16x = 184,269,320,270.26
  5. Step 5: Solve for x
    x = 184,269,320,270.26/495,717.16
  6. Step 6: Final answer
    x = 371,722.70

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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.