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Finding the Fourth Proportional to 300,375.40, 414,511.76 and 164,406.20

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Solution

The fourth proportional to 300,375.40, 414,511.76 and 164,406.20 is: 226,877.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,375.40 : 414,511.76 = 164,406.20 : x
  2. Step 2: Convert to fraction form
    300,375.40/414,511.76 = 164,406.20/x
  3. Step 3: Cross multiply
    300,375.40x = 414,511.76 × 164,406.20
  4. Step 4: Simplify right side
    300,375.40x = 68,148,303,316.91
  5. Step 5: Solve for x
    x = 68,148,303,316.91/300,375.40
  6. Step 6: Final answer
    x = 226,877.11

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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.