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Finding the Fourth Proportional to 459,198.30, 633,650.16 and 255,225

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Solution

The fourth proportional to 459,198.30, 633,650.16 and 255,225 is: 352,186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,198.30 : 633,650.16 = 255,225 : x
  2. Step 2: Convert to fraction form
    459,198.30/633,650.16 = 255,225/x
  3. Step 3: Cross multiply
    459,198.30x = 633,650.16 × 255,225
  4. Step 4: Simplify right side
    459,198.30x = 161,723,362,086
  5. Step 5: Solve for x
    x = 161,723,362,086/459,198.30
  6. Step 6: Final answer
    x = 352,186.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.