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Finding the Fourth Proportional to 276,365.95, 414,502.55 and 76,706.62

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Solution

The fourth proportional to 276,365.95, 414,502.55 and 76,706.62 is: 115,047.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,365.95 : 414,502.55 = 76,706.62 : x
  2. Step 2: Convert to fraction form
    276,365.95/414,502.55 = 76,706.62/x
  3. Step 3: Cross multiply
    276,365.95x = 414,502.55 × 76,706.62
  4. Step 4: Simplify right side
    276,365.95x = 31,795,089,783.65
  5. Step 5: Solve for x
    x = 31,795,089,783.65/276,365.95
  6. Step 6: Final answer
    x = 115,047.06

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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.