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Finding the Fourth Proportional to 414,849.80, 620,892.30 and 365,083.40

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Solution

The fourth proportional to 414,849.80, 620,892.30 and 365,083.40 is: 546,408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,849.80 : 620,892.30 = 365,083.40 : x
  2. Step 2: Convert to fraction form
    414,849.80/620,892.30 = 365,083.40/x
  3. Step 3: Cross multiply
    414,849.80x = 620,892.30 × 365,083.40
  4. Step 4: Simplify right side
    414,849.80x = 226,677,471,917.82
  5. Step 5: Solve for x
    x = 226,677,471,917.82/414,849.80
  6. Step 6: Final answer
    x = 546,408.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.