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Finding the Fourth Proportional to 507,382.11, 761,351.81 and 294,410.43

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Solution

The fourth proportional to 507,382.11, 761,351.81 and 294,410.43 is: 441,777.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,382.11 : 761,351.81 = 294,410.43 : x
  2. Step 2: Convert to fraction form
    507,382.11/761,351.81 = 294,410.43/x
  3. Step 3: Cross multiply
    507,382.11x = 761,351.81 × 294,410.43
  4. Step 4: Simplify right side
    507,382.11x = 224,149,912,291.33
  5. Step 5: Solve for x
    x = 224,149,912,291.33/507,382.11
  6. Step 6: Final answer
    x = 441,777.33

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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.