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Finding the Fourth Proportional to 306,313.84, 422,713.34 and 170,344.82

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Solution

The fourth proportional to 306,313.84, 422,713.34 and 170,344.82 is: 235,075.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,313.84 : 422,713.34 = 170,344.82 : x
  2. Step 2: Convert to fraction form
    306,313.84/422,713.34 = 170,344.82/x
  3. Step 3: Cross multiply
    306,313.84x = 422,713.34 × 170,344.82
  4. Step 4: Simplify right side
    306,313.84x = 72,007,027,813.90
  5. Step 5: Solve for x
    x = 72,007,027,813.90/306,313.84
  6. Step 6: Final answer
    x = 235,075.99

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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.