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Finding the Fourth Proportional to 300,294.39, 414,406.18 and 164,328.35

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Solution

The fourth proportional to 300,294.39, 414,406.18 and 164,328.35 is: 226,773.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,294.39 : 414,406.18 = 164,328.35 : x
  2. Step 2: Convert to fraction form
    300,294.39/414,406.18 = 164,328.35/x
  3. Step 3: Cross multiply
    300,294.39x = 414,406.18 × 164,328.35
  4. Step 4: Simplify right side
    300,294.39x = 68,098,680,998.24
  5. Step 5: Solve for x
    x = 68,098,680,998.24/300,294.39
  6. Step 6: Final answer
    x = 226,773.07

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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.