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Finding the Fourth Proportional to 297,889.46, 411,086.66 and 161,923.40

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Solution

The fourth proportional to 297,889.46, 411,086.66 and 161,923.40 is: 223,453.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,889.46 : 411,086.66 = 161,923.40 : x
  2. Step 2: Convert to fraction form
    297,889.46/411,086.66 = 161,923.40/x
  3. Step 3: Cross multiply
    297,889.46x = 411,086.66 × 161,923.40
  4. Step 4: Simplify right side
    297,889.46x = 66,564,549,681.84
  5. Step 5: Solve for x
    x = 66,564,549,681.84/297,889.46
  6. Step 6: Final answer
    x = 223,453.86

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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.