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Finding the Fourth Proportional to 287,734.24, 397,383.06 and 219,018.16

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Solution

The fourth proportional to 287,734.24, 397,383.06 and 219,018.16 is: 302,480.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,734.24 : 397,383.06 = 219,018.16 : x
  2. Step 2: Convert to fraction form
    287,734.24/397,383.06 = 219,018.16/x
  3. Step 3: Cross multiply
    287,734.24x = 397,383.06 × 219,018.16
  4. Step 4: Simplify right side
    287,734.24x = 87,034,106,616.37
  5. Step 5: Solve for x
    x = 87,034,106,616.37/287,734.24
  6. Step 6: Final answer
    x = 302,480.88

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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.