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Finding the Fourth Proportional to 300,295.56, 414,365.94 and 255,156.36

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Solution

The fourth proportional to 300,295.56, 414,365.94 and 255,156.36 is: 352,080.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,295.56 : 414,365.94 = 255,156.36 : x
  2. Step 2: Convert to fraction form
    300,295.56/414,365.94 = 255,156.36/x
  3. Step 3: Cross multiply
    300,295.56x = 414,365.94 × 255,156.36
  4. Step 4: Simplify right side
    300,295.56x = 105,728,104,958.38
  5. Step 5: Solve for x
    x = 105,728,104,958.38/300,295.56
  6. Step 6: Final answer
    x = 352,080.15

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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.