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Finding the Fourth Proportional to 488,901.87, 733,561.94 and 204,658.85

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Solution

The fourth proportional to 488,901.87, 733,561.94 and 204,658.85 is: 307,075.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,901.87 : 733,561.94 = 204,658.85 : x
  2. Step 2: Convert to fraction form
    488,901.87/733,561.94 = 204,658.85/x
  3. Step 3: Cross multiply
    488,901.87x = 733,561.94 × 204,658.85
  4. Step 4: Simplify right side
    488,901.87x = 150,129,938,353.07
  5. Step 5: Solve for x
    x = 150,129,938,353.07/488,901.87
  6. Step 6: Final answer
    x = 307,075.81

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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.