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Finding the Fourth Proportional to 367,429.56, 507,048.48 and 206,280.60

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Solution

The fourth proportional to 367,429.56, 507,048.48 and 206,280.60 is: 284,664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,429.56 : 507,048.48 = 206,280.60 : x
  2. Step 2: Convert to fraction form
    367,429.56/507,048.48 = 206,280.60/x
  3. Step 3: Cross multiply
    367,429.56x = 507,048.48 × 206,280.60
  4. Step 4: Simplify right side
    367,429.56x = 104,594,264,683.49
  5. Step 5: Solve for x
    x = 104,594,264,683.49/367,429.56
  6. Step 6: Final answer
    x = 284,664.81

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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.