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Finding the Fourth Proportional to 364,447.82, 502,938.72 and 203,298.68

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Solution

The fourth proportional to 364,447.82, 502,938.72 and 203,298.68 is: 280,552.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,447.82 : 502,938.72 = 203,298.68 : x
  2. Step 2: Convert to fraction form
    364,447.82/502,938.72 = 203,298.68/x
  3. Step 3: Cross multiply
    364,447.82x = 502,938.72 × 203,298.68
  4. Step 4: Simplify right side
    364,447.82x = 102,246,777,896.89
  5. Step 5: Solve for x
    x = 102,246,777,896.89/364,447.82
  6. Step 6: Final answer
    x = 280,552.58

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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.