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Finding the Fourth Proportional to 503,833.96, 694,714.02 and 376,294.12

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Solution

The fourth proportional to 503,833.96, 694,714.02 and 376,294.12 is: 518,855.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,833.96 : 694,714.02 = 376,294.12 : x
  2. Step 2: Convert to fraction form
    503,833.96/694,714.02 = 376,294.12/x
  3. Step 3: Cross multiply
    503,833.96x = 694,714.02 × 376,294.12
  4. Step 4: Simplify right side
    503,833.96x = 261,416,800,807.56
  5. Step 5: Solve for x
    x = 261,416,800,807.56/503,833.96
  6. Step 6: Final answer
    x = 518,855.06

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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.