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Finding the Fourth Proportional to 301,904.40, 416,631.30 and 164,083.32

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Solution

The fourth proportional to 301,904.40, 416,631.30 and 164,083.32 is: 226,436.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,904.40 : 416,631.30 = 164,083.32 : x
  2. Step 2: Convert to fraction form
    301,904.40/416,631.30 = 164,083.32/x
  3. Step 3: Cross multiply
    301,904.40x = 416,631.30 × 164,083.32
  4. Step 4: Simplify right side
    301,904.40x = 68,362,246,304.60
  5. Step 5: Solve for x
    x = 68,362,246,304.60/301,904.40
  6. Step 6: Final answer
    x = 226,436.74

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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.