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Finding the Fourth Proportional to 285,709.66, 428,629.07 and 143,623.01

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Solution

The fourth proportional to 285,709.66, 428,629.07 and 143,623.01 is: 215,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,709.66 : 428,629.07 = 143,623.01 : x
  2. Step 2: Convert to fraction form
    285,709.66/428,629.07 = 143,623.01/x
  3. Step 3: Cross multiply
    285,709.66x = 428,629.07 × 143,623.01
  4. Step 4: Simplify right side
    285,709.66x = 61,560,995,418.61
  5. Step 5: Solve for x
    x = 61,560,995,418.61/285,709.66
  6. Step 6: Final answer
    x = 215,466.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.