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Finding the Fourth Proportional to 601,074.64, 829,493.20 and 329,138.20

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Solution

The fourth proportional to 601,074.64, 829,493.20 and 329,138.20 is: 454,216.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,074.64 : 829,493.20 = 329,138.20 : x
  2. Step 2: Convert to fraction form
    601,074.64/829,493.20 = 329,138.20/x
  3. Step 3: Cross multiply
    601,074.64x = 829,493.20 × 329,138.20
  4. Step 4: Simplify right side
    601,074.64x = 273,017,898,760.24
  5. Step 5: Solve for x
    x = 273,017,898,760.24/601,074.64
  6. Step 6: Final answer
    x = 454,216.30

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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.