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Finding the Fourth Proportional to 601,401.44, 829,935 and 329,463.38

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Solution

The fourth proportional to 601,401.44, 829,935 and 329,463.38 is: 454,660.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,401.44 : 829,935 = 329,463.38 : x
  2. Step 2: Convert to fraction form
    601,401.44/829,935 = 329,463.38/x
  3. Step 3: Cross multiply
    601,401.44x = 829,935 × 329,463.38
  4. Step 4: Simplify right side
    601,401.44x = 273,433,190,280.30
  5. Step 5: Solve for x
    x = 273,433,190,280.30/601,401.44
  6. Step 6: Final answer
    x = 454,660.02

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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.