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Finding the Fourth Proportional to 541,863.60, 747,796.38 and 300,146.14

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Solution

The fourth proportional to 541,863.60, 747,796.38 and 300,146.14 is: 414,215.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,863.60 : 747,796.38 = 300,146.14 : x
  2. Step 2: Convert to fraction form
    541,863.60/747,796.38 = 300,146.14/x
  3. Step 3: Cross multiply
    541,863.60x = 747,796.38 × 300,146.14
  4. Step 4: Simplify right side
    541,863.60x = 224,448,197,616.33
  5. Step 5: Solve for x
    x = 224,448,197,616.33/541,863.60
  6. Step 6: Final answer
    x = 414,215.31

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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.