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Finding the Fourth Proportional to 364,350.37, 502,804.41 and 203,215.86

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Solution

The fourth proportional to 364,350.37, 502,804.41 and 203,215.86 is: 280,438.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,350.37 : 502,804.41 = 203,215.86 : x
  2. Step 2: Convert to fraction form
    364,350.37/502,804.41 = 203,215.86/x
  3. Step 3: Cross multiply
    364,350.37x = 502,804.41 × 203,215.86
  4. Step 4: Simplify right side
    364,350.37x = 102,177,830,589.94
  5. Step 5: Solve for x
    x = 102,177,830,589.94/364,350.37
  6. Step 6: Final answer
    x = 280,438.39

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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.