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Finding the Fourth Proportional to 415,343.20, 622,784.40 and 165,743.20

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Solution

The fourth proportional to 415,343.20, 622,784.40 and 165,743.20 is: 248,522.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,343.20 : 622,784.40 = 165,743.20 : x
  2. Step 2: Convert to fraction form
    415,343.20/622,784.40 = 165,743.20/x
  3. Step 3: Cross multiply
    415,343.20x = 622,784.40 × 165,743.20
  4. Step 4: Simplify right side
    415,343.20x = 103,222,279,366.08
  5. Step 5: Solve for x
    x = 103,222,279,366.08/415,343.20
  6. Step 6: Final answer
    x = 248,522.86

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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.