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Finding the Fourth Proportional to 305,296.44, 457,851.30 and 211,131.78

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Solution

The fourth proportional to 305,296.44, 457,851.30 and 211,131.78 is: 316,633.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,296.44 : 457,851.30 = 211,131.78 : x
  2. Step 2: Convert to fraction form
    305,296.44/457,851.30 = 211,131.78/x
  3. Step 3: Cross multiply
    305,296.44x = 457,851.30 × 211,131.78
  4. Step 4: Simplify right side
    305,296.44x = 96,666,959,944.31
  5. Step 5: Solve for x
    x = 96,666,959,944.31/305,296.44
  6. Step 6: Final answer
    x = 316,633.11

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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.