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Finding the Fourth Proportional to 304,124.49, 419,749.29 and 183,283.02

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Solution

The fourth proportional to 304,124.49, 419,749.29 and 183,283.02 is: 252,965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,124.49 : 419,749.29 = 183,283.02 : x
  2. Step 2: Convert to fraction form
    304,124.49/419,749.29 = 183,283.02/x
  3. Step 3: Cross multiply
    304,124.49x = 419,749.29 × 183,283.02
  4. Step 4: Simplify right side
    304,124.49x = 76,932,917,514.06
  5. Step 5: Solve for x
    x = 76,932,917,514.06/304,124.49
  6. Step 6: Final answer
    x = 252,965.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.