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Finding the Fourth Proportional to 449,043.71, 673,677.17 and 133,500.11

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Solution

The fourth proportional to 449,043.71, 673,677.17 and 133,500.11 is: 200,283.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,043.71 : 673,677.17 = 133,500.11 : x
  2. Step 2: Convert to fraction form
    449,043.71/673,677.17 = 133,500.11/x
  3. Step 3: Cross multiply
    449,043.71x = 673,677.17 × 133,500.11
  4. Step 4: Simplify right side
    449,043.71x = 89,935,976,299.49
  5. Step 5: Solve for x
    x = 89,935,976,299.49/449,043.71
  6. Step 6: Final answer
    x = 200,283.35

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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.