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Finding the Fourth Proportional to 311,436.09, 467,154.15 and 178,222.14

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Solution

The fourth proportional to 311,436.09, 467,154.15 and 178,222.14 is: 267,333.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,436.09 : 467,154.15 = 178,222.14 : x
  2. Step 2: Convert to fraction form
    311,436.09/467,154.15 = 178,222.14/x
  3. Step 3: Cross multiply
    311,436.09x = 467,154.15 × 178,222.14
  4. Step 4: Simplify right side
    311,436.09x = 83,257,212,322.88
  5. Step 5: Solve for x
    x = 83,257,212,322.88/311,436.09
  6. Step 6: Final answer
    x = 267,333.22

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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.