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Finding the Fourth Proportional to 465,800.05, 642,617.45 and 293,661.37

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Solution

The fourth proportional to 465,800.05, 642,617.45 and 293,661.37 is: 405,135.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,800.05 : 642,617.45 = 293,661.37 : x
  2. Step 2: Convert to fraction form
    465,800.05/642,617.45 = 293,661.37/x
  3. Step 3: Cross multiply
    465,800.05x = 642,617.45 × 293,661.37
  4. Step 4: Simplify right side
    465,800.05x = 188,711,919,284.60
  5. Step 5: Solve for x
    x = 188,711,919,284.60/465,800.05
  6. Step 6: Final answer
    x = 405,135.03

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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.