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Finding the Fourth Proportional to 364,702.32, 503,314.56 and 203,588.82

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Solution

The fourth proportional to 364,702.32, 503,314.56 and 203,588.82 is: 280,966.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,702.32 : 503,314.56 = 203,588.82 : x
  2. Step 2: Convert to fraction form
    364,702.32/503,314.56 = 203,588.82/x
  3. Step 3: Cross multiply
    364,702.32x = 503,314.56 × 203,588.82
  4. Step 4: Simplify right side
    364,702.32x = 102,469,217,359.22
  5. Step 5: Solve for x
    x = 102,469,217,359.22/364,702.32
  6. Step 6: Final answer
    x = 280,966.73

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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.