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Finding the Fourth Proportional to 495,773.09, 684,172.31 and 269,418.59

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Solution

The fourth proportional to 495,773.09, 684,172.31 and 269,418.59 is: 371,800.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,773.09 : 684,172.31 = 269,418.59 : x
  2. Step 2: Convert to fraction form
    495,773.09/684,172.31 = 269,418.59/x
  3. Step 3: Cross multiply
    495,773.09x = 684,172.31 × 269,418.59
  4. Step 4: Simplify right side
    495,773.09x = 184,328,734,309.29
  5. Step 5: Solve for x
    x = 184,328,734,309.29/495,773.09
  6. Step 6: Final answer
    x = 371,800.61

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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.