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Finding the Fourth Proportional to 297,368.23, 410,363 and 161,399.25

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Solution

The fourth proportional to 297,368.23, 410,363 and 161,399.25 is: 222,728.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,368.23 : 410,363 = 161,399.25 : x
  2. Step 2: Convert to fraction form
    297,368.23/410,363 = 161,399.25/x
  3. Step 3: Cross multiply
    297,368.23x = 410,363 × 161,399.25
  4. Step 4: Simplify right side
    297,368.23x = 66,232,280,427.75
  5. Step 5: Solve for x
    x = 66,232,280,427.75/297,368.23
  6. Step 6: Final answer
    x = 222,728.17

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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.