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Finding the Fourth Proportional to 415,837.60, 622,881.60 and 345,853.60

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Solution

The fourth proportional to 415,837.60, 622,881.60 and 345,853.60 is: 518,052.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,837.60 : 622,881.60 = 345,853.60 : x
  2. Step 2: Convert to fraction form
    415,837.60/622,881.60 = 345,853.60/x
  3. Step 3: Cross multiply
    415,837.60x = 622,881.60 × 345,853.60
  4. Step 4: Simplify right side
    415,837.60x = 215,425,843,733.76
  5. Step 5: Solve for x
    x = 215,425,843,733.76/415,837.60
  6. Step 6: Final answer
    x = 518,052.83

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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.