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Finding the Fourth Proportional to 503,305.58, 694,297.02 and 299,211.35

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Solution

The fourth proportional to 503,305.58, 694,297.02 and 299,211.35 is: 412,754.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,305.58 : 694,297.02 = 299,211.35 : x
  2. Step 2: Convert to fraction form
    503,305.58/694,297.02 = 299,211.35/x
  3. Step 3: Cross multiply
    503,305.58x = 694,297.02 × 299,211.35
  4. Step 4: Simplify right side
    503,305.58x = 207,741,548,655.18
  5. Step 5: Solve for x
    x = 207,741,548,655.18/503,305.58
  6. Step 6: Final answer
    x = 412,754.31

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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.