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Finding the Fourth Proportional to 367,420.27, 507,069.26 and 206,285.89

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Solution

The fourth proportional to 367,420.27, 507,069.26 and 206,285.89 is: 284,690.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,420.27 : 507,069.26 = 206,285.89 : x
  2. Step 2: Convert to fraction form
    367,420.27/507,069.26 = 206,285.89/x
  3. Step 3: Cross multiply
    367,420.27x = 507,069.26 × 206,285.89
  4. Step 4: Simplify right side
    367,420.27x = 104,601,233,590.74
  5. Step 5: Solve for x
    x = 104,601,233,590.74/367,420.27
  6. Step 6: Final answer
    x = 284,690.97

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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.