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Finding the Fourth Proportional to 365,141.97, 503,906.19 and 204,014.76

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Solution

The fourth proportional to 365,141.97, 503,906.19 and 204,014.76 is: 281,546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,141.97 : 503,906.19 = 204,014.76 : x
  2. Step 2: Convert to fraction form
    365,141.97/503,906.19 = 204,014.76/x
  3. Step 3: Cross multiply
    365,141.97x = 503,906.19 × 204,014.76
  4. Step 4: Simplify right side
    365,141.97x = 102,804,300,415.36
  5. Step 5: Solve for x
    x = 102,804,300,415.36/365,141.97
  6. Step 6: Final answer
    x = 281,546.11

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1.5x scale

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.