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Finding the Fourth Proportional to 294,529, 441,793.50 and 72,913

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Solution

The fourth proportional to 294,529, 441,793.50 and 72,913 is: 109,369.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,529 : 441,793.50 = 72,913 : x
  2. Step 2: Convert to fraction form
    294,529/441,793.50 = 72,913/x
  3. Step 3: Cross multiply
    294,529x = 441,793.50 × 72,913
  4. Step 4: Simplify right side
    294,529x = 32,212,489,465.50
  5. Step 5: Solve for x
    x = 32,212,489,465.50/294,529
  6. Step 6: Final answer
    x = 109,369.50

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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.