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Finding the Fourth Proportional to 449,258.96, 673,886.52 and 116,834

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Solution

The fourth proportional to 449,258.96, 673,886.52 and 116,834 is: 175,250.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,258.96 : 673,886.52 = 116,834 : x
  2. Step 2: Convert to fraction form
    449,258.96/673,886.52 = 116,834/x
  3. Step 3: Cross multiply
    449,258.96x = 673,886.52 × 116,834
  4. Step 4: Simplify right side
    449,258.96x = 78,732,857,677.68
  5. Step 5: Solve for x
    x = 78,732,857,677.68/449,258.96
  6. Step 6: Final answer
    x = 175,250.50

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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.