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Finding the Fourth Proportional to 294,582, 406,523.97 and 167,277.54

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Solution

The fourth proportional to 294,582, 406,523.97 and 167,277.54 is: 230,843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,582 : 406,523.97 = 167,277.54 : x
  2. Step 2: Convert to fraction form
    294,582/406,523.97 = 167,277.54/x
  3. Step 3: Cross multiply
    294,582x = 406,523.97 × 167,277.54
  4. Step 4: Simplify right side
    294,582x = 68,002,329,652.63
  5. Step 5: Solve for x
    x = 68,002,329,652.63/294,582
  6. Step 6: Final answer
    x = 230,843.47

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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.