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Finding the Fourth Proportional to 294,524.56, 406,497.16 and 173,658.64

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Solution

The fourth proportional to 294,524.56, 406,497.16 and 173,658.64 is: 239,680.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,524.56 : 406,497.16 = 173,658.64 : x
  2. Step 2: Convert to fraction form
    294,524.56/406,497.16 = 173,658.64/x
  3. Step 3: Cross multiply
    294,524.56x = 406,497.16 × 173,658.64
  4. Step 4: Simplify right side
    294,524.56x = 70,591,743,969.46
  5. Step 5: Solve for x
    x = 70,591,743,969.46/294,524.56
  6. Step 6: Final answer
    x = 239,680.33

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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.