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Finding the Fourth Proportional to 365,232.65, 504,019.98 and 204,087.86

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Solution

The fourth proportional to 365,232.65, 504,019.98 and 204,087.86 is: 281,640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,232.65 : 504,019.98 = 204,087.86 : x
  2. Step 2: Convert to fraction form
    365,232.65/504,019.98 = 204,087.86/x
  3. Step 3: Cross multiply
    365,232.65x = 504,019.98 × 204,087.86
  4. Step 4: Simplify right side
    365,232.65x = 102,864,356,595.34
  5. Step 5: Solve for x
    x = 102,864,356,595.34/365,232.65
  6. Step 6: Final answer
    x = 281,640.64

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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.