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Finding the Fourth Proportional to 482,461.63, 665,361.21 and 301,190.25

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Solution

The fourth proportional to 482,461.63, 665,361.21 and 301,190.25 is: 415,370.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,461.63 : 665,361.21 = 301,190.25 : x
  2. Step 2: Convert to fraction form
    482,461.63/665,361.21 = 301,190.25/x
  3. Step 3: Cross multiply
    482,461.63x = 665,361.21 × 301,190.25
  4. Step 4: Simplify right side
    482,461.63x = 200,400,305,853.40
  5. Step 5: Solve for x
    x = 200,400,305,853.40/482,461.63
  6. Step 6: Final answer
    x = 415,370.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.