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Finding the Fourth Proportional to 507,365.38, 700,169.38 and 306,122.50

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Solution

The fourth proportional to 507,365.38, 700,169.38 and 306,122.50 is: 422,452.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,365.38 : 700,169.38 = 306,122.50 : x
  2. Step 2: Convert to fraction form
    507,365.38/700,169.38 = 306,122.50/x
  3. Step 3: Cross multiply
    507,365.38x = 700,169.38 × 306,122.50
  4. Step 4: Simplify right side
    507,365.38x = 214,337,601,029.05
  5. Step 5: Solve for x
    x = 214,337,601,029.05/507,365.38
  6. Step 6: Final answer
    x = 422,452.16

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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.