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Finding the Fourth Proportional to 414,878.10, 622,001.25 and 190,302.36

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Solution

The fourth proportional to 414,878.10, 622,001.25 and 190,302.36 is: 285,308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,878.10 : 622,001.25 = 190,302.36 : x
  2. Step 2: Convert to fraction form
    414,878.10/622,001.25 = 190,302.36/x
  3. Step 3: Cross multiply
    414,878.10x = 622,001.25 × 190,302.36
  4. Step 4: Simplify right side
    414,878.10x = 118,368,305,797.95
  5. Step 5: Solve for x
    x = 118,368,305,797.95/414,878.10
  6. Step 6: Final answer
    x = 285,308.64

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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.