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Finding the Fourth Proportional to 419,632.34, 629,634.54 and 219,905.24

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Solution

The fourth proportional to 419,632.34, 629,634.54 and 219,905.24 is: 329,955.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,632.34 : 629,634.54 = 219,905.24 : x
  2. Step 2: Convert to fraction form
    419,632.34/629,634.54 = 219,905.24/x
  3. Step 3: Cross multiply
    419,632.34x = 629,634.54 × 219,905.24
  4. Step 4: Simplify right side
    419,632.34x = 138,459,934,630.99
  5. Step 5: Solve for x
    x = 138,459,934,630.99/419,632.34
  6. Step 6: Final answer
    x = 329,955.35

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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.