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Finding the Fourth Proportional to 297,509, 410,551.20 and 161,540.01

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Solution

The fourth proportional to 297,509, 410,551.20 and 161,540.01 is: 222,919.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,509 : 410,551.20 = 161,540.01 : x
  2. Step 2: Convert to fraction form
    297,509/410,551.20 = 161,540.01/x
  3. Step 3: Cross multiply
    297,509x = 410,551.20 × 161,540.01
  4. Step 4: Simplify right side
    297,509x = 66,320,444,953.51
  5. Step 5: Solve for x
    x = 66,320,444,953.51/297,509
  6. Step 6: Final answer
    x = 222,919.12

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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.