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Finding the Fourth Proportional to 304,347.82, 456,274.33 and 126,986.98

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Solution

The fourth proportional to 304,347.82, 456,274.33 and 126,986.98 is: 190,377.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,347.82 : 456,274.33 = 126,986.98 : x
  2. Step 2: Convert to fraction form
    304,347.82/456,274.33 = 126,986.98/x
  3. Step 3: Cross multiply
    304,347.82x = 456,274.33 × 126,986.98
  4. Step 4: Simplify right side
    304,347.82x = 57,940,899,218.22
  5. Step 5: Solve for x
    x = 57,940,899,218.22/304,347.82
  6. Step 6: Final answer
    x = 190,377.24

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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.