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Finding the Fourth Proportional to 301,163.72, 415,681.57 and 204,531.13

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Solution

The fourth proportional to 301,163.72, 415,681.57 and 204,531.13 is: 282,304.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,163.72 : 415,681.57 = 204,531.13 : x
  2. Step 2: Convert to fraction form
    301,163.72/415,681.57 = 204,531.13/x
  3. Step 3: Cross multiply
    301,163.72x = 415,681.57 × 204,531.13
  4. Step 4: Simplify right side
    301,163.72x = 85,019,819,669.33
  5. Step 5: Solve for x
    x = 85,019,819,669.33/301,163.72
  6. Step 6: Final answer
    x = 282,304.32

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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.