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Finding the Fourth Proportional to 449,813.49, 674,709.50 and 146,207.27

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Solution

The fourth proportional to 449,813.49, 674,709.50 and 146,207.27 is: 219,307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,813.49 : 674,709.50 = 146,207.27 : x
  2. Step 2: Convert to fraction form
    449,813.49/674,709.50 = 146,207.27/x
  3. Step 3: Cross multiply
    449,813.49x = 674,709.50 × 146,207.27
  4. Step 4: Simplify right side
    449,813.49x = 98,647,429,933.48
  5. Step 5: Solve for x
    x = 98,647,429,933.48/449,813.49
  6. Step 6: Final answer
    x = 219,307.41

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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.