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Finding the Fourth Proportional to 301,512.64, 416,071.20 and 167,368

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Solution

The fourth proportional to 301,512.64, 416,071.20 and 167,368 is: 230,958.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,512.64 : 416,071.20 = 167,368 : x
  2. Step 2: Convert to fraction form
    301,512.64/416,071.20 = 167,368/x
  3. Step 3: Cross multiply
    301,512.64x = 416,071.20 × 167,368
  4. Step 4: Simplify right side
    301,512.64x = 69,637,004,601.60
  5. Step 5: Solve for x
    x = 69,637,004,601.60/301,512.64
  6. Step 6: Final answer
    x = 230,958.82

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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.