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Finding the Fourth Proportional to 294,506.33, 406,407.98 and 179,976.69

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Solution

The fourth proportional to 294,506.33, 406,407.98 and 179,976.69 is: 248,361.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,506.33 : 406,407.98 = 179,976.69 : x
  2. Step 2: Convert to fraction form
    294,506.33/406,407.98 = 179,976.69/x
  3. Step 3: Cross multiply
    294,506.33x = 406,407.98 × 179,976.69
  4. Step 4: Simplify right side
    294,506.33x = 73,143,963,479.93
  5. Step 5: Solve for x
    x = 73,143,963,479.93/294,506.33
  6. Step 6: Final answer
    x = 248,361.27

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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.