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Finding the Fourth Proportional to 594,735.45, 820,724.62 and 322,797.50

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Solution

The fourth proportional to 594,735.45, 820,724.62 and 322,797.50 is: 445,454.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,735.45 : 820,724.62 = 322,797.50 : x
  2. Step 2: Convert to fraction form
    594,735.45/820,724.62 = 322,797.50/x
  3. Step 3: Cross multiply
    594,735.45x = 820,724.62 × 322,797.50
  4. Step 4: Simplify right side
    594,735.45x = 264,927,855,524.45
  5. Step 5: Solve for x
    x = 264,927,855,524.45/594,735.45
  6. Step 6: Final answer
    x = 445,454.96

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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.