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Finding the Fourth Proportional to 601,072.64, 829,490.44 and 329,136.20

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Solution

The fourth proportional to 601,072.64, 829,490.44 and 329,136.20 is: 454,213.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,072.64 : 829,490.44 = 329,136.20 : x
  2. Step 2: Convert to fraction form
    601,072.64/829,490.44 = 329,136.20/x
  3. Step 3: Cross multiply
    601,072.64x = 829,490.44 × 329,136.20
  4. Step 4: Simplify right side
    601,072.64x = 273,015,331,357.93
  5. Step 5: Solve for x
    x = 273,015,331,357.93/601,072.64
  6. Step 6: Final answer
    x = 454,213.54

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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.