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Finding the Fourth Proportional to 364,464.06, 502,958.97 and 203,318.98

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Solution

The fourth proportional to 364,464.06, 502,958.97 and 203,318.98 is: 280,579.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,464.06 : 502,958.97 = 203,318.98 : x
  2. Step 2: Convert to fraction form
    364,464.06/502,958.97 = 203,318.98/x
  3. Step 3: Cross multiply
    364,464.06x = 502,958.97 × 203,318.98
  4. Step 4: Simplify right side
    364,464.06x = 102,261,104,762.25
  5. Step 5: Solve for x
    x = 102,261,104,762.25/364,464.06
  6. Step 6: Final answer
    x = 280,579.39

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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.