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Finding the Fourth Proportional to 301,482.56, 416,025.12 and 167,336

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Solution

The fourth proportional to 301,482.56, 416,025.12 and 167,336 is: 230,912.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,482.56 : 416,025.12 = 167,336 : x
  2. Step 2: Convert to fraction form
    301,482.56/416,025.12 = 167,336/x
  3. Step 3: Cross multiply
    301,482.56x = 416,025.12 × 167,336
  4. Step 4: Simplify right side
    301,482.56x = 69,615,979,480.32
  5. Step 5: Solve for x
    x = 69,615,979,480.32/301,482.56
  6. Step 6: Final answer
    x = 230,912.13

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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.