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Finding the Fourth Proportional to 304,274.94, 456,296.49 and 121,849.98

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Solution

The fourth proportional to 304,274.94, 456,296.49 and 121,849.98 is: 182,728.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,274.94 : 456,296.49 = 121,849.98 : x
  2. Step 2: Convert to fraction form
    304,274.94/456,296.49 = 121,849.98/x
  3. Step 3: Cross multiply
    304,274.94x = 456,296.49 × 121,849.98
  4. Step 4: Simplify right side
    304,274.94x = 55,599,718,180.57
  5. Step 5: Solve for x
    x = 55,599,718,180.57/304,274.94
  6. Step 6: Final answer
    x = 182,728.55

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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.