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Finding the Fourth Proportional to 402,672.78, 603,464.85 and 177,994.98

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Solution

The fourth proportional to 402,672.78, 603,464.85 and 177,994.98 is: 266,751.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,672.78 : 603,464.85 = 177,994.98 : x
  2. Step 2: Convert to fraction form
    402,672.78/603,464.85 = 177,994.98/x
  3. Step 3: Cross multiply
    402,672.78x = 603,464.85 × 177,994.98
  4. Step 4: Simplify right side
    402,672.78x = 107,413,713,906.45
  5. Step 5: Solve for x
    x = 107,413,713,906.45/402,672.78
  6. Step 6: Final answer
    x = 266,751.86

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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.