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Finding the Fourth Proportional to 328,744.70, 492,776.85 and 178,667.90

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Solution

The fourth proportional to 328,744.70, 492,776.85 and 178,667.90 is: 267,816.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,744.70 : 492,776.85 = 178,667.90 : x
  2. Step 2: Convert to fraction form
    328,744.70/492,776.85 = 178,667.90/x
  3. Step 3: Cross multiply
    328,744.70x = 492,776.85 × 178,667.90
  4. Step 4: Simplify right side
    328,744.70x = 88,043,404,958.12
  5. Step 5: Solve for x
    x = 88,043,404,958.12/328,744.70
  6. Step 6: Final answer
    x = 267,816.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.