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Finding the Fourth Proportional to 594,105.82, 819,866.25 and 322,173.64

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Solution

The fourth proportional to 594,105.82, 819,866.25 and 322,173.64 is: 444,599.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,105.82 : 819,866.25 = 322,173.64 : x
  2. Step 2: Convert to fraction form
    594,105.82/819,866.25 = 322,173.64/x
  3. Step 3: Cross multiply
    594,105.82x = 819,866.25 × 322,173.64
  4. Step 4: Simplify right side
    594,105.82x = 264,139,294,075.65
  5. Step 5: Solve for x
    x = 264,139,294,075.65/594,105.82
  6. Step 6: Final answer
    x = 444,599.74

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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.