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Finding the Fourth Proportional to 601,434.12, 829,972.07 and 325,786.78

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Solution

The fourth proportional to 601,434.12, 829,972.07 and 325,786.78 is: 449,581.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,434.12 : 829,972.07 = 325,786.78 : x
  2. Step 2: Convert to fraction form
    601,434.12/829,972.07 = 325,786.78/x
  3. Step 3: Cross multiply
    601,434.12x = 829,972.07 × 325,786.78
  4. Step 4: Simplify right side
    601,434.12x = 270,393,924,471.37
  5. Step 5: Solve for x
    x = 270,393,924,471.37/601,434.12
  6. Step 6: Final answer
    x = 449,581.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.