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Finding the Fourth Proportional to 366,018, 505,104.72 and 204,873

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Solution

The fourth proportional to 366,018, 505,104.72 and 204,873 is: 282,724.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,018 : 505,104.72 = 204,873 : x
  2. Step 2: Convert to fraction form
    366,018/505,104.72 = 204,873/x
  3. Step 3: Cross multiply
    366,018x = 505,104.72 × 204,873
  4. Step 4: Simplify right side
    366,018x = 103,482,319,300.56
  5. Step 5: Solve for x
    x = 103,482,319,300.56/366,018
  6. Step 6: Final answer
    x = 282,724.67

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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.