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Finding the Fourth Proportional to 413,576.37, 570,695.09 and 232,247.07

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Solution

The fourth proportional to 413,576.37, 570,695.09 and 232,247.07 is: 320,478.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,576.37 : 570,695.09 = 232,247.07 : x
  2. Step 2: Convert to fraction form
    413,576.37/570,695.09 = 232,247.07/x
  3. Step 3: Cross multiply
    413,576.37x = 570,695.09 × 232,247.07
  4. Step 4: Simplify right side
    413,576.37x = 132,542,261,354.65
  5. Step 5: Solve for x
    x = 132,542,261,354.65/413,576.37
  6. Step 6: Final answer
    x = 320,478.32

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