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Finding the Fourth Proportional to 509,905.22, 764,296.38 and 210,221.42

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Solution

The fourth proportional to 509,905.22, 764,296.38 and 210,221.42 is: 315,100.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,905.22 : 764,296.38 = 210,221.42 : x
  2. Step 2: Convert to fraction form
    509,905.22/764,296.38 = 210,221.42/x
  3. Step 3: Cross multiply
    509,905.22x = 764,296.38 × 210,221.42
  4. Step 4: Simplify right side
    509,905.22x = 160,671,470,304.46
  5. Step 5: Solve for x
    x = 160,671,470,304.46/509,905.22
  6. Step 6: Final answer
    x = 315,100.66

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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.