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Finding the Fourth Proportional to 538,868.21, 743,656.08 and 293,866.37

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Solution

The fourth proportional to 538,868.21, 743,656.08 and 293,866.37 is: 405,545.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,868.21 : 743,656.08 = 293,866.37 : x
  2. Step 2: Convert to fraction form
    538,868.21/743,656.08 = 293,866.37/x
  3. Step 3: Cross multiply
    538,868.21x = 743,656.08 × 293,866.37
  4. Step 4: Simplify right side
    538,868.21x = 218,535,512,930.46
  5. Step 5: Solve for x
    x = 218,535,512,930.46/538,868.21
  6. Step 6: Final answer
    x = 405,545.38

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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.