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Finding the Fourth Proportional to 462,456, 693,824.04 and 327,780.72

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Solution

The fourth proportional to 462,456, 693,824.04 and 327,780.72 is: 491,770.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,456 : 693,824.04 = 327,780.72 : x
  2. Step 2: Convert to fraction form
    462,456/693,824.04 = 327,780.72/x
  3. Step 3: Cross multiply
    462,456x = 693,824.04 × 327,780.72
  4. Step 4: Simplify right side
    462,456x = 227,422,143,384.51
  5. Step 5: Solve for x
    x = 227,422,143,384.51/462,456
  6. Step 6: Final answer
    x = 491,770.34

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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.