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Finding the Fourth Proportional to 300,386.30, 414,533.24 and 164,420.96

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Solution

The fourth proportional to 300,386.30, 414,533.24 and 164,420.96 is: 226,901.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,386.30 : 414,533.24 = 164,420.96 : x
  2. Step 2: Convert to fraction form
    300,386.30/414,533.24 = 164,420.96/x
  3. Step 3: Cross multiply
    300,386.30x = 414,533.24 × 164,420.96
  4. Step 4: Simplify right side
    300,386.30x = 68,157,950,377.94
  5. Step 5: Solve for x
    x = 68,157,950,377.94/300,386.30
  6. Step 6: Final answer
    x = 226,901.00

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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.