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Finding the Fourth Proportional to 288,123.30, 431,796.15 and 204,920.10

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Solution

The fourth proportional to 288,123.30, 431,796.15 and 204,920.10 is: 307,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,123.30 : 431,796.15 = 204,920.10 : x
  2. Step 2: Convert to fraction form
    288,123.30/431,796.15 = 204,920.10/x
  3. Step 3: Cross multiply
    288,123.30x = 431,796.15 × 204,920.10
  4. Step 4: Simplify right side
    288,123.30x = 88,483,710,237.62
  5. Step 5: Solve for x
    x = 88,483,710,237.62/288,123.30
  6. Step 6: Final answer
    x = 307,103.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.