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Finding the Fourth Proportional to 495,796.94, 684,207.15 and 269,442.62

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Solution

The fourth proportional to 495,796.94, 684,207.15 and 269,442.62 is: 371,834.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,796.94 : 684,207.15 = 269,442.62 : x
  2. Step 2: Convert to fraction form
    495,796.94/684,207.15 = 269,442.62/x
  3. Step 3: Cross multiply
    495,796.94x = 684,207.15 × 269,442.62
  4. Step 4: Simplify right side
    495,796.94x = 184,354,567,118.73
  5. Step 5: Solve for x
    x = 184,354,567,118.73/495,796.94
  6. Step 6: Final answer
    x = 371,834.82

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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.