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Finding the Fourth Proportional to 308,546.12, 463,247.50 and 158,893.40

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Solution

The fourth proportional to 308,546.12, 463,247.50 and 158,893.40 is: 238,560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,546.12 : 463,247.50 = 158,893.40 : x
  2. Step 2: Convert to fraction form
    308,546.12/463,247.50 = 158,893.40/x
  3. Step 3: Cross multiply
    308,546.12x = 463,247.50 × 158,893.40
  4. Step 4: Simplify right side
    308,546.12x = 73,606,970,316.50
  5. Step 5: Solve for x
    x = 73,606,970,316.50/308,546.12
  6. Step 6: Final answer
    x = 238,560.67

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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.