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Finding the Fourth Proportional to 276,373.77, 414,217.98 and 196,284.03

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Solution

The fourth proportional to 276,373.77, 414,217.98 and 196,284.03 is: 294,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,373.77 : 414,217.98 = 196,284.03 : x
  2. Step 2: Convert to fraction form
    276,373.77/414,217.98 = 196,284.03/x
  3. Step 3: Cross multiply
    276,373.77x = 414,217.98 × 196,284.03
  4. Step 4: Simplify right side
    276,373.77x = 81,304,374,412.86
  5. Step 5: Solve for x
    x = 81,304,374,412.86/276,373.77
  6. Step 6: Final answer
    x = 294,182.67

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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.