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Finding the Fourth Proportional to 428,052.60, 640,850.10 and 415,764.60

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Solution

The fourth proportional to 428,052.60, 640,850.10 and 415,764.60 is: 622,453.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,052.60 : 640,850.10 = 415,764.60 : x
  2. Step 2: Convert to fraction form
    428,052.60/640,850.10 = 415,764.60/x
  3. Step 3: Cross multiply
    428,052.60x = 640,850.10 × 415,764.60
  4. Step 4: Simplify right side
    428,052.60x = 266,442,785,486.46
  5. Step 5: Solve for x
    x = 266,442,785,486.46/428,052.60
  6. Step 6: Final answer
    x = 622,453.37

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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.