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Finding the Fourth Proportional to 367,724.70, 507,457.02 and 206,576.29

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Solution

The fourth proportional to 367,724.70, 507,457.02 and 206,576.29 is: 285,073.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,724.70 : 507,457.02 = 206,576.29 : x
  2. Step 2: Convert to fraction form
    367,724.70/507,457.02 = 206,576.29/x
  3. Step 3: Cross multiply
    367,724.70x = 507,457.02 × 206,576.29
  4. Step 4: Simplify right side
    367,724.70x = 104,828,589,935.04
  5. Step 5: Solve for x
    x = 104,828,589,935.04/367,724.70
  6. Step 6: Final answer
    x = 285,073.56

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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.