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Finding the Fourth Proportional to 354,546, 531,520.70 and 164,910.02

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Solution

The fourth proportional to 354,546, 531,520.70 and 164,910.02 is: 247,226.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,546 : 531,520.70 = 164,910.02 : x
  2. Step 2: Convert to fraction form
    354,546/531,520.70 = 164,910.02/x
  3. Step 3: Cross multiply
    354,546x = 531,520.70 × 164,910.02
  4. Step 4: Simplify right side
    354,546x = 87,653,085,785.26
  5. Step 5: Solve for x
    x = 87,653,085,785.26/354,546
  6. Step 6: Final answer
    x = 247,226.27

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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.