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Finding the Fourth Proportional to 400,714.29, 600,117.26 and 231,878.70

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Solution

The fourth proportional to 400,714.29, 600,117.26 and 231,878.70 is: 347,265.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,714.29 : 600,117.26 = 231,878.70 : x
  2. Step 2: Convert to fraction form
    400,714.29/600,117.26 = 231,878.70/x
  3. Step 3: Cross multiply
    400,714.29x = 600,117.26 × 231,878.70
  4. Step 4: Simplify right side
    400,714.29x = 139,154,408,936.97
  5. Step 5: Solve for x
    x = 139,154,408,936.97/400,714.29
  6. Step 6: Final answer
    x = 347,265.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.