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Finding the Fourth Proportional to 594,802.26, 820,804.86 and 322,864.30

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Solution

The fourth proportional to 594,802.26, 820,804.86 and 322,864.30 is: 445,540.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,802.26 : 820,804.86 = 322,864.30 : x
  2. Step 2: Convert to fraction form
    594,802.26/820,804.86 = 322,864.30/x
  3. Step 3: Cross multiply
    594,802.26x = 820,804.86 × 322,864.30
  4. Step 4: Simplify right side
    594,802.26x = 265,008,586,560.50
  5. Step 5: Solve for x
    x = 265,008,586,560.50/594,802.26
  6. Step 6: Final answer
    x = 445,540.65

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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.