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Finding the Fourth Proportional to 419,796.16, 629,782.08 and 232,414.72

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Solution

The fourth proportional to 419,796.16, 629,782.08 and 232,414.72 is: 348,670.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,796.16 : 629,782.08 = 232,414.72 : x
  2. Step 2: Convert to fraction form
    419,796.16/629,782.08 = 232,414.72/x
  3. Step 3: Cross multiply
    419,796.16x = 629,782.08 × 232,414.72
  4. Step 4: Simplify right side
    419,796.16x = 146,370,625,784.22
  5. Step 5: Solve for x
    x = 146,370,625,784.22/419,796.16
  6. Step 6: Final answer
    x = 348,670.71

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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.