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Finding the Fourth Proportional to 294,578.83, 406,556.72 and 179,833.42

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Solution

The fourth proportional to 294,578.83, 406,556.72 and 179,833.42 is: 248,193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,578.83 : 406,556.72 = 179,833.42 : x
  2. Step 2: Convert to fraction form
    294,578.83/406,556.72 = 179,833.42/x
  3. Step 3: Cross multiply
    294,578.83x = 406,556.72 × 179,833.42
  4. Step 4: Simplify right side
    294,578.83x = 73,112,485,381.58
  5. Step 5: Solve for x
    x = 73,112,485,381.58/294,578.83
  6. Step 6: Final answer
    x = 248,193.28

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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.