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Finding the Fourth Proportional to 323,647.38, 485,366.04 and 152,842.68

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Solution

The fourth proportional to 323,647.38, 485,366.04 and 152,842.68 is: 229,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,647.38 : 485,366.04 = 152,842.68 : x
  2. Step 2: Convert to fraction form
    323,647.38/485,366.04 = 152,842.68/x
  3. Step 3: Cross multiply
    323,647.38x = 485,366.04 × 152,842.68
  4. Step 4: Simplify right side
    323,647.38x = 74,184,646,201.69
  5. Step 5: Solve for x
    x = 74,184,646,201.69/323,647.38
  6. Step 6: Final answer
    x = 229,214.42

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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.