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Finding the Fourth Proportional to 534,615, 737,768.70 and 296,151

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Solution

The fourth proportional to 534,615, 737,768.70 and 296,151 is: 408,688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,615 : 737,768.70 = 296,151 : x
  2. Step 2: Convert to fraction form
    534,615/737,768.70 = 296,151/x
  3. Step 3: Cross multiply
    534,615x = 737,768.70 × 296,151
  4. Step 4: Simplify right side
    534,615x = 218,490,938,273.70
  5. Step 5: Solve for x
    x = 218,490,938,273.70/534,615
  6. Step 6: Final answer
    x = 408,688.38

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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.