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Finding the Fourth Proportional to 367,506.90, 507,124.23 and 206,325

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Solution

The fourth proportional to 367,506.90, 507,124.23 and 206,325 is: 284,708.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,506.90 : 507,124.23 = 206,325 : x
  2. Step 2: Convert to fraction form
    367,506.90/507,124.23 = 206,325/x
  3. Step 3: Cross multiply
    367,506.90x = 507,124.23 × 206,325
  4. Step 4: Simplify right side
    367,506.90x = 104,632,405,981.03
  5. Step 5: Solve for x
    x = 104,632,405,981.03/367,506.90
  6. Step 6: Final answer
    x = 284,708.68

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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.