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Finding the Fourth Proportional to 535,647.77, 739,193.49 and 293,945.54

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Solution

The fourth proportional to 535,647.77, 739,193.49 and 293,945.54 is: 405,644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,647.77 : 739,193.49 = 293,945.54 : x
  2. Step 2: Convert to fraction form
    535,647.77/739,193.49 = 293,945.54/x
  3. Step 3: Cross multiply
    535,647.77x = 739,193.49 × 293,945.54
  4. Step 4: Simplify right side
    535,647.77x = 217,282,625,886.57
  5. Step 5: Solve for x
    x = 217,282,625,886.57/535,647.77
  6. Step 6: Final answer
    x = 405,644.60

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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.