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Finding the Fourth Proportional to 534,741, 737,942.58 and 296,277

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Solution

The fourth proportional to 534,741, 737,942.58 and 296,277 is: 408,862.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,741 : 737,942.58 = 296,277 : x
  2. Step 2: Convert to fraction form
    534,741/737,942.58 = 296,277/x
  3. Step 3: Cross multiply
    534,741x = 737,942.58 × 296,277
  4. Step 4: Simplify right side
    534,741x = 218,635,413,774.66
  5. Step 5: Solve for x
    x = 218,635,413,774.66/534,741
  6. Step 6: Final answer
    x = 408,862.26

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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.