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Finding the Fourth Proportional to 306,002.34, 422,277.63 and 170,033.82

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Solution

The fourth proportional to 306,002.34, 422,277.63 and 170,033.82 is: 234,643.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,002.34 : 422,277.63 = 170,033.82 : x
  2. Step 2: Convert to fraction form
    306,002.34/422,277.63 = 170,033.82/x
  3. Step 3: Cross multiply
    306,002.34x = 422,277.63 × 170,033.82
  4. Step 4: Simplify right side
    306,002.34x = 71,801,478,529.45
  5. Step 5: Solve for x
    x = 71,801,478,529.45/306,002.34
  6. Step 6: Final answer
    x = 234,643.56

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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.