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Finding the Fourth Proportional to 414,671.40, 622,007.10 and 272,130.60

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Solution

The fourth proportional to 414,671.40, 622,007.10 and 272,130.60 is: 408,195.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,671.40 : 622,007.10 = 272,130.60 : x
  2. Step 2: Convert to fraction form
    414,671.40/622,007.10 = 272,130.60/x
  3. Step 3: Cross multiply
    414,671.40x = 622,007.10 × 272,130.60
  4. Step 4: Simplify right side
    414,671.40x = 169,267,165,327.26
  5. Step 5: Solve for x
    x = 169,267,165,327.26/414,671.40
  6. Step 6: Final answer
    x = 408,195.90

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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.