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Finding the Fourth Proportional to 301,832.52, 416,528.84 and 167,696.52

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Solution

The fourth proportional to 301,832.52, 416,528.84 and 167,696.52 is: 231,421.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,832.52 : 416,528.84 = 167,696.52 : x
  2. Step 2: Convert to fraction form
    301,832.52/416,528.84 = 167,696.52/x
  3. Step 3: Cross multiply
    301,832.52x = 416,528.84 × 167,696.52
  4. Step 4: Simplify right side
    301,832.52x = 69,850,436,947.64
  5. Step 5: Solve for x
    x = 69,850,436,947.64/301,832.52
  6. Step 6: Final answer
    x = 231,421.18

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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.