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Finding the Fourth Proportional to 495,806.94, 684,194.31 and 269,447.58

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Solution

The fourth proportional to 495,806.94, 684,194.31 and 269,447.58 is: 371,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,806.94 : 684,194.31 = 269,447.58 : x
  2. Step 2: Convert to fraction form
    495,806.94/684,194.31 = 269,447.58/x
  3. Step 3: Cross multiply
    495,806.94x = 684,194.31 × 269,447.58
  4. Step 4: Simplify right side
    495,806.94x = 184,354,501,079.27
  5. Step 5: Solve for x
    x = 184,354,501,079.27/495,806.94
  6. Step 6: Final answer
    x = 371,827.19

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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.