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Finding the Fourth Proportional to 442,558, 664,499.58 and 253,231.84

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Solution

The fourth proportional to 442,558, 664,499.58 and 253,231.84 is: 380,226.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,558 : 664,499.58 = 253,231.84 : x
  2. Step 2: Convert to fraction form
    442,558/664,499.58 = 253,231.84/x
  3. Step 3: Cross multiply
    442,558x = 664,499.58 × 253,231.84
  4. Step 4: Simplify right side
    442,558x = 168,272,451,322.63
  5. Step 5: Solve for x
    x = 168,272,451,322.63/442,558
  6. Step 6: Final answer
    x = 380,226.89

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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.