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Finding the Fourth Proportional to 421,490.52, 632,235.06 and 196,775.64

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Solution

The fourth proportional to 421,490.52, 632,235.06 and 196,775.64 is: 295,163.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,490.52 : 632,235.06 = 196,775.64 : x
  2. Step 2: Convert to fraction form
    421,490.52/632,235.06 = 196,775.64/x
  3. Step 3: Cross multiply
    421,490.52x = 632,235.06 × 196,775.64
  4. Step 4: Simplify right side
    421,490.52x = 124,408,458,561.94
  5. Step 5: Solve for x
    x = 124,408,458,561.94/421,490.52
  6. Step 6: Final answer
    x = 295,163.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.