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Finding the Fourth Proportional to 509,504.22, 764,273.34 and 229,022.28

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Solution

The fourth proportional to 509,504.22, 764,273.34 and 229,022.28 is: 343,541.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,504.22 : 764,273.34 = 229,022.28 : x
  2. Step 2: Convert to fraction form
    509,504.22/764,273.34 = 229,022.28/x
  3. Step 3: Cross multiply
    509,504.22x = 764,273.34 × 229,022.28
  4. Step 4: Simplify right side
    509,504.22x = 175,035,622,870.02
  5. Step 5: Solve for x
    x = 175,035,622,870.02/509,504.22
  6. Step 6: Final answer
    x = 343,541.07

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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.