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Finding the Fourth Proportional to 333,842.92, 500,414.46 and 123,346.60

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Solution

The fourth proportional to 333,842.92, 500,414.46 and 123,346.60 is: 184,890.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,842.92 : 500,414.46 = 123,346.60 : x
  2. Step 2: Convert to fraction form
    333,842.92/500,414.46 = 123,346.60/x
  3. Step 3: Cross multiply
    333,842.92x = 500,414.46 × 123,346.60
  4. Step 4: Simplify right side
    333,842.92x = 61,724,422,231.84
  5. Step 5: Solve for x
    x = 61,724,422,231.84/333,842.92
  6. Step 6: Final answer
    x = 184,890.61

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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.