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Finding the Fourth Proportional to 415,811.60, 622,842.60 and 345,827.60

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Solution

The fourth proportional to 415,811.60, 622,842.60 and 345,827.60 is: 518,013.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,811.60 : 622,842.60 = 345,827.60 : x
  2. Step 2: Convert to fraction form
    415,811.60/622,842.60 = 345,827.60/x
  3. Step 3: Cross multiply
    415,811.60x = 622,842.60 × 345,827.60
  4. Step 4: Simplify right side
    415,811.60x = 215,396,161,535.76
  5. Step 5: Solve for x
    x = 215,396,161,535.76/415,811.60
  6. Step 6: Final answer
    x = 518,013.83

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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.