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Finding the Fourth Proportional to 300,322.12, 414,438.98 and 164,353.34

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Solution

The fourth proportional to 300,322.12, 414,438.98 and 164,353.34 is: 226,804.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,322.12 : 414,438.98 = 164,353.34 : x
  2. Step 2: Convert to fraction form
    300,322.12/414,438.98 = 164,353.34/x
  3. Step 3: Cross multiply
    300,322.12x = 414,438.98 × 164,353.34
  4. Step 4: Simplify right side
    300,322.12x = 68,114,427,695.23
  5. Step 5: Solve for x
    x = 68,114,427,695.23/300,322.12
  6. Step 6: Final answer
    x = 226,804.57

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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.