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Finding the Fourth Proportional to 495,794.86, 684,196.68 and 269,440.36

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Solution

The fourth proportional to 495,794.86, 684,196.68 and 269,440.36 is: 371,827.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,794.86 : 684,196.68 = 269,440.36 : x
  2. Step 2: Convert to fraction form
    495,794.86/684,196.68 = 269,440.36/x
  3. Step 3: Cross multiply
    495,794.86x = 684,196.68 × 269,440.36
  4. Step 4: Simplify right side
    495,794.86x = 184,350,199,770.01
  5. Step 5: Solve for x
    x = 184,350,199,770.01/495,794.86
  6. Step 6: Final answer
    x = 371,827.57

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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.