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Finding the Fourth Proportional to 328,049.10, 492,073.65 and 106,433.10

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Solution

The fourth proportional to 328,049.10, 492,073.65 and 106,433.10 is: 159,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,049.10 : 492,073.65 = 106,433.10 : x
  2. Step 2: Convert to fraction form
    328,049.10/492,073.65 = 106,433.10/x
  3. Step 3: Cross multiply
    328,049.10x = 492,073.65 × 106,433.10
  4. Step 4: Simplify right side
    328,049.10x = 52,372,923,997.82
  5. Step 5: Solve for x
    x = 52,372,923,997.82/328,049.10
  6. Step 6: Final answer
    x = 159,649.65

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