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Finding the Fourth Proportional to 273,205.80, 410,115.90 and 211,151.40

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Solution

The fourth proportional to 273,205.80, 410,115.90 and 211,151.40 is: 316,964.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,205.80 : 410,115.90 = 211,151.40 : x
  2. Step 2: Convert to fraction form
    273,205.80/410,115.90 = 211,151.40/x
  3. Step 3: Cross multiply
    273,205.80x = 410,115.90 × 211,151.40
  4. Step 4: Simplify right side
    273,205.80x = 86,596,546,447.26
  5. Step 5: Solve for x
    x = 86,596,546,447.26/273,205.80
  6. Step 6: Final answer
    x = 316,964.52

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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.