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Finding the Fourth Proportional to 594,809.40, 820,815.05 and 322,871.33

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Solution

The fourth proportional to 594,809.40, 820,815.05 and 322,871.33 is: 445,550.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,809.40 : 820,815.05 = 322,871.33 : x
  2. Step 2: Convert to fraction form
    594,809.40/820,815.05 = 322,871.33/x
  3. Step 3: Cross multiply
    594,809.40x = 820,815.05 × 322,871.33
  4. Step 4: Simplify right side
    594,809.40x = 265,017,649,736.73
  5. Step 5: Solve for x
    x = 265,017,649,736.73/594,809.40
  6. Step 6: Final answer
    x = 445,550.54

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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.