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Finding the Fourth Proportional to 312,882.26, 468,840.33 and 211,282.16

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Solution

The fourth proportional to 312,882.26, 468,840.33 and 211,282.16 is: 316,597.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,882.26 : 468,840.33 = 211,282.16 : x
  2. Step 2: Convert to fraction form
    312,882.26/468,840.33 = 211,282.16/x
  3. Step 3: Cross multiply
    312,882.26x = 468,840.33 × 211,282.16
  4. Step 4: Simplify right side
    312,882.26x = 99,057,595,273.31
  5. Step 5: Solve for x
    x = 99,057,595,273.31/312,882.26
  6. Step 6: Final answer
    x = 316,597.04

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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.