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Finding the Fourth Proportional to 338,896.64, 507,990.24 and 114,179.42

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Solution

The fourth proportional to 338,896.64, 507,990.24 and 114,179.42 is: 171,149.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,896.64 : 507,990.24 = 114,179.42 : x
  2. Step 2: Convert to fraction form
    338,896.64/507,990.24 = 114,179.42/x
  3. Step 3: Cross multiply
    338,896.64x = 507,990.24 × 114,179.42
  4. Step 4: Simplify right side
    338,896.64x = 58,002,030,968.86
  5. Step 5: Solve for x
    x = 58,002,030,968.86/338,896.64
  6. Step 6: Final answer
    x = 171,149.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.