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Finding the Fourth Proportional to 294,354.54, 406,197.99 and 167,022.54

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Solution

The fourth proportional to 294,354.54, 406,197.99 and 167,022.54 is: 230,484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,354.54 : 406,197.99 = 167,022.54 : x
  2. Step 2: Convert to fraction form
    294,354.54/406,197.99 = 167,022.54/x
  3. Step 3: Cross multiply
    294,354.54x = 406,197.99 × 167,022.54
  4. Step 4: Simplify right side
    294,354.54x = 67,844,220,032.69
  5. Step 5: Solve for x
    x = 67,844,220,032.69/294,354.54
  6. Step 6: Final answer
    x = 230,484.71

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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.