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Finding the Fourth Proportional to 300,004.40, 414,004.20 and 165,868.40

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Solution

The fourth proportional to 300,004.40, 414,004.20 and 165,868.40 is: 228,897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,004.40 : 414,004.20 = 165,868.40 : x
  2. Step 2: Convert to fraction form
    300,004.40/414,004.20 = 165,868.40/x
  3. Step 3: Cross multiply
    300,004.40x = 414,004.20 × 165,868.40
  4. Step 4: Simplify right side
    300,004.40x = 68,670,214,247.28
  5. Step 5: Solve for x
    x = 68,670,214,247.28/300,004.40
  6. Step 6: Final answer
    x = 228,897.36

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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.