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Finding the Fourth Proportional to 413,544.50, 619,764.86 and 221,024.26

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Solution

The fourth proportional to 413,544.50, 619,764.86 and 221,024.26 is: 331,241.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,544.50 : 619,764.86 = 221,024.26 : x
  2. Step 2: Convert to fraction form
    413,544.50/619,764.86 = 221,024.26/x
  3. Step 3: Cross multiply
    413,544.50x = 619,764.86 × 221,024.26
  4. Step 4: Simplify right side
    413,544.50x = 136,983,069,555.50
  5. Step 5: Solve for x
    x = 136,983,069,555.50/413,544.50
  6. Step 6: Final answer
    x = 331,241.43

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