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Finding the Fourth Proportional to 273,914.36, 410,964.96 and 147,567.57

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Solution

The fourth proportional to 273,914.36, 410,964.96 and 147,567.57 is: 221,401.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,914.36 : 410,964.96 = 147,567.57 : x
  2. Step 2: Convert to fraction form
    273,914.36/410,964.96 = 147,567.57/x
  3. Step 3: Cross multiply
    273,914.36x = 410,964.96 × 147,567.57
  4. Step 4: Simplify right side
    273,914.36x = 60,645,100,502.35
  5. Step 5: Solve for x
    x = 60,645,100,502.35/273,914.36
  6. Step 6: Final answer
    x = 221,401.68

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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.