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Finding the Fourth Proportional to 339,434.22, 509,361.59 and 197,346.36

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Solution

The fourth proportional to 339,434.22, 509,361.59 and 197,346.36 is: 296,141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,434.22 : 509,361.59 = 197,346.36 : x
  2. Step 2: Convert to fraction form
    339,434.22/509,361.59 = 197,346.36/x
  3. Step 3: Cross multiply
    339,434.22x = 509,361.59 × 197,346.36
  4. Step 4: Simplify right side
    339,434.22x = 100,520,655,710.31
  5. Step 5: Solve for x
    x = 100,520,655,710.31/339,434.22
  6. Step 6: Final answer
    x = 296,141.78

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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.