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Finding the Fourth Proportional to 301,906.40, 416,634.06 and 164,085.32

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Solution

The fourth proportional to 301,906.40, 416,634.06 and 164,085.32 is: 226,439.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,906.40 : 416,634.06 = 164,085.32 : x
  2. Step 2: Convert to fraction form
    301,906.40/416,634.06 = 164,085.32/x
  3. Step 3: Cross multiply
    301,906.40x = 416,634.06 × 164,085.32
  4. Step 4: Simplify right side
    301,906.40x = 68,363,533,058.00
  5. Step 5: Solve for x
    x = 68,363,533,058.00/301,906.40
  6. Step 6: Final answer
    x = 226,439.50

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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.