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Finding the Fourth Proportional to 594,661.83, 820,633.75 and 322,729.66

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Solution

The fourth proportional to 594,661.83, 820,633.75 and 322,729.66 is: 445,367.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,661.83 : 820,633.75 = 322,729.66 : x
  2. Step 2: Convert to fraction form
    594,661.83/820,633.75 = 322,729.66/x
  3. Step 3: Cross multiply
    594,661.83x = 820,633.75 × 322,729.66
  4. Step 4: Simplify right side
    594,661.83x = 264,842,848,263.62
  5. Step 5: Solve for x
    x = 264,842,848,263.62/594,661.83
  6. Step 6: Final answer
    x = 445,367.16

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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.