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Finding the Fourth Proportional to 354,065.56, 530,809.84 and 164,645.50

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Solution

The fourth proportional to 354,065.56, 530,809.84 and 164,645.50 is: 246,834.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,065.56 : 530,809.84 = 164,645.50 : x
  2. Step 2: Convert to fraction form
    354,065.56/530,809.84 = 164,645.50/x
  3. Step 3: Cross multiply
    354,065.56x = 530,809.84 × 164,645.50
  4. Step 4: Simplify right side
    354,065.56x = 87,395,451,511.72
  5. Step 5: Solve for x
    x = 87,395,451,511.72/354,065.56
  6. Step 6: Final answer
    x = 246,834.09

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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.