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Finding the Fourth Proportional to 601,400.44, 829,933.62 and 329,462.38

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Solution

The fourth proportional to 601,400.44, 829,933.62 and 329,462.38 is: 454,658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,400.44 : 829,933.62 = 329,462.38 : x
  2. Step 2: Convert to fraction form
    601,400.44/829,933.62 = 329,462.38/x
  3. Step 3: Cross multiply
    601,400.44x = 829,933.62 × 329,462.38
  4. Step 4: Simplify right side
    601,400.44x = 273,431,905,687.22
  5. Step 5: Solve for x
    x = 273,431,905,687.22/601,400.44
  6. Step 6: Final answer
    x = 454,658.64

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Why These Related Problems?

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