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Finding the Fourth Proportional to 301,476.56, 416,016.84 and 167,330

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Solution

The fourth proportional to 301,476.56, 416,016.84 and 167,330 is: 230,903.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,476.56 : 416,016.84 = 167,330 : x
  2. Step 2: Convert to fraction form
    301,476.56/416,016.84 = 167,330/x
  3. Step 3: Cross multiply
    301,476.56x = 416,016.84 × 167,330
  4. Step 4: Simplify right side
    301,476.56x = 69,612,097,837.20
  5. Step 5: Solve for x
    x = 69,612,097,837.20/301,476.56
  6. Step 6: Final answer
    x = 230,903.85

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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.