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Finding the Fourth Proportional to 594,365, 820,238.10 and 326,093

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Solution

The fourth proportional to 594,365, 820,238.10 and 326,093 is: 450,016.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,365 : 820,238.10 = 326,093 : x
  2. Step 2: Convert to fraction form
    594,365/820,238.10 = 326,093/x
  3. Step 3: Cross multiply
    594,365x = 820,238.10 × 326,093
  4. Step 4: Simplify right side
    594,365x = 267,473,902,743.30
  5. Step 5: Solve for x
    x = 267,473,902,743.30/594,365
  6. Step 6: Final answer
    x = 450,016.24

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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.