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Finding the Fourth Proportional to 297,644.47, 410,756.77 and 161,678.37

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Solution

The fourth proportional to 297,644.47, 410,756.77 and 161,678.37 is: 223,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,644.47 : 410,756.77 = 161,678.37 : x
  2. Step 2: Convert to fraction form
    297,644.47/410,756.77 = 161,678.37/x
  3. Step 3: Cross multiply
    297,644.47x = 410,756.77 × 161,678.37
  4. Step 4: Simplify right side
    297,644.47x = 66,410,485,040.06
  5. Step 5: Solve for x
    x = 66,410,485,040.06/297,644.47
  6. Step 6: Final answer
    x = 223,120.17

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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.