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Finding the Fourth Proportional to 288,285.16, 397,728.10 and 167,383.40

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Solution

The fourth proportional to 288,285.16, 397,728.10 and 167,383.40 is: 230,927.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,285.16 : 397,728.10 = 167,383.40 : x
  2. Step 2: Convert to fraction form
    288,285.16/397,728.10 = 167,383.40/x
  3. Step 3: Cross multiply
    288,285.16x = 397,728.10 × 167,383.40
  4. Step 4: Simplify right side
    288,285.16x = 66,573,081,653.54
  5. Step 5: Solve for x
    x = 66,573,081,653.54/288,285.16
  6. Step 6: Final answer
    x = 230,927.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.