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Finding the Fourth Proportional to 365,288.49, 504,093.11 and 204,146.01

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Solution

The fourth proportional to 365,288.49, 504,093.11 and 204,146.01 is: 281,718.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,288.49 : 504,093.11 = 204,146.01 : x
  2. Step 2: Convert to fraction form
    365,288.49/504,093.11 = 204,146.01/x
  3. Step 3: Cross multiply
    365,288.49x = 504,093.11 × 204,146.01
  4. Step 4: Simplify right side
    365,288.49x = 102,908,596,054.26
  5. Step 5: Solve for x
    x = 102,908,596,054.26/365,288.49
  6. Step 6: Final answer
    x = 281,718.69

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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.