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Finding the Fourth Proportional to 273,750.80, 410,933.40 and 211,696.40

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Solution

The fourth proportional to 273,750.80, 410,933.40 and 211,696.40 is: 317,782.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,750.80 : 410,933.40 = 211,696.40 : x
  2. Step 2: Convert to fraction form
    273,750.80/410,933.40 = 211,696.40/x
  3. Step 3: Cross multiply
    273,750.80x = 410,933.40 × 211,696.40
  4. Step 4: Simplify right side
    273,750.80x = 86,993,121,419.76
  5. Step 5: Solve for x
    x = 86,993,121,419.76/273,750.80
  6. Step 6: Final answer
    x = 317,782.16

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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.