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Finding the Fourth Proportional to 524,491.08, 723,912.30 and 333,467.16

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Solution

The fourth proportional to 524,491.08, 723,912.30 and 333,467.16 is: 460,257.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,491.08 : 723,912.30 = 333,467.16 : x
  2. Step 2: Convert to fraction form
    524,491.08/723,912.30 = 333,467.16/x
  3. Step 3: Cross multiply
    524,491.08x = 723,912.30 × 333,467.16
  4. Step 4: Simplify right side
    524,491.08x = 241,400,978,770.07
  5. Step 5: Solve for x
    x = 241,400,978,770.07/524,491.08
  6. Step 6: Final answer
    x = 460,257.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.