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Finding the Fourth Proportional to 365,040, 503,766 and 203,901.84

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Solution

The fourth proportional to 365,040, 503,766 and 203,901.84 is: 281,390.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,040 : 503,766 = 203,901.84 : x
  2. Step 2: Convert to fraction form
    365,040/503,766 = 203,901.84/x
  3. Step 3: Cross multiply
    365,040x = 503,766 × 203,901.84
  4. Step 4: Simplify right side
    365,040x = 102,718,814,329.44
  5. Step 5: Solve for x
    x = 102,718,814,329.44/365,040
  6. Step 6: Final answer
    x = 281,390.57

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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.