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Finding the Fourth Proportional to 495,714.96, 684,085.36 and 269,360.48

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Solution

The fourth proportional to 495,714.96, 684,085.36 and 269,360.48 is: 371,716.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,714.96 : 684,085.36 = 269,360.48 : x
  2. Step 2: Convert to fraction form
    495,714.96/684,085.36 = 269,360.48/x
  3. Step 3: Cross multiply
    495,714.96x = 684,085.36 × 269,360.48
  4. Step 4: Simplify right side
    495,714.96x = 184,265,560,930.57
  5. Step 5: Solve for x
    x = 184,265,560,930.57/495,714.96
  6. Step 6: Final answer
    x = 371,716.76

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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.