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Finding the Fourth Proportional to 470,638.29, 705,951.23 and 115,655.43

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Solution

The fourth proportional to 470,638.29, 705,951.23 and 115,655.43 is: 173,481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,638.29 : 705,951.23 = 115,655.43 : x
  2. Step 2: Convert to fraction form
    470,638.29/705,951.23 = 115,655.43/x
  3. Step 3: Cross multiply
    470,638.29x = 705,951.23 × 115,655.43
  4. Step 4: Simplify right side
    470,638.29x = 81,647,092,486.40
  5. Step 5: Solve for x
    x = 81,647,092,486.40/470,638.29
  6. Step 6: Final answer
    x = 173,481.62

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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.