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Finding the Fourth Proportional to 404,030, 557,578.68 and 225,182

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Solution

The fourth proportional to 404,030, 557,578.68 and 225,182 is: 310,760.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,030 : 557,578.68 = 225,182 : x
  2. Step 2: Convert to fraction form
    404,030/557,578.68 = 225,182/x
  3. Step 3: Cross multiply
    404,030x = 557,578.68 × 225,182
  4. Step 4: Simplify right side
    404,030x = 125,556,682,319.76
  5. Step 5: Solve for x
    x = 125,556,682,319.76/404,030
  6. Step 6: Final answer
    x = 310,760.79

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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.