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Finding the Fourth Proportional to 644,858.26, 965,812.10 and 308,135.60

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Solution

The fourth proportional to 644,858.26, 965,812.10 and 308,135.60 is: 461,498.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,858.26 : 965,812.10 = 308,135.60 : x
  2. Step 2: Convert to fraction form
    644,858.26/965,812.10 = 308,135.60/x
  3. Step 3: Cross multiply
    644,858.26x = 965,812.10 × 308,135.60
  4. Step 4: Simplify right side
    644,858.26x = 297,601,090,920.76
  5. Step 5: Solve for x
    x = 297,601,090,920.76/644,858.26
  6. Step 6: Final answer
    x = 461,498.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.