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Finding the Fourth Proportional to 301,906.08, 416,566.80 and 167,767.20

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Solution

The fourth proportional to 301,906.08, 416,566.80 and 167,767.20 is: 231,483.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,906.08 : 416,566.80 = 167,767.20 : x
  2. Step 2: Convert to fraction form
    301,906.08/416,566.80 = 167,767.20/x
  3. Step 3: Cross multiply
    301,906.08x = 416,566.80 × 167,767.20
  4. Step 4: Simplify right side
    301,906.08x = 69,886,245,648.96
  5. Step 5: Solve for x
    x = 69,886,245,648.96/301,906.08
  6. Step 6: Final answer
    x = 231,483.40

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1.5x scale

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.