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Finding the Fourth Proportional to 509,377.44, 764,185.68 and 500,914.56

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Solution

The fourth proportional to 509,377.44, 764,185.68 and 500,914.56 is: 751,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,377.44 : 764,185.68 = 500,914.56 : x
  2. Step 2: Convert to fraction form
    509,377.44/764,185.68 = 500,914.56/x
  3. Step 3: Cross multiply
    509,377.44x = 764,185.68 × 500,914.56
  4. Step 4: Simplify right side
    509,377.44x = 382,791,733,655.50
  5. Step 5: Solve for x
    x = 382,791,733,655.50/509,377.44
  6. Step 6: Final answer
    x = 751,489.37

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Why These Related Problems?

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