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Finding the Fourth Proportional to 594,294.42, 820,121.45 and 322,361.63

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Solution

The fourth proportional to 594,294.42, 820,121.45 and 322,361.63 is: 444,856.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,294.42 : 820,121.45 = 322,361.63 : x
  2. Step 2: Convert to fraction form
    594,294.42/820,121.45 = 322,361.63/x
  3. Step 3: Cross multiply
    594,294.42x = 820,121.45 × 322,361.63
  4. Step 4: Simplify right side
    594,294.42x = 264,375,687,419.96
  5. Step 5: Solve for x
    x = 264,375,687,419.96/594,294.42
  6. Step 6: Final answer
    x = 444,856.42

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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.