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Finding the Fourth Proportional to 470,609.76, 705,908.56 and 115,625.44

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Solution

The fourth proportional to 470,609.76, 705,908.56 and 115,625.44 is: 173,436.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,609.76 : 705,908.56 = 115,625.44 : x
  2. Step 2: Convert to fraction form
    470,609.76/705,908.56 = 115,625.44/x
  3. Step 3: Cross multiply
    470,609.76x = 705,908.56 × 115,625.44
  4. Step 4: Simplify right side
    470,609.76x = 81,620,987,849.77
  5. Step 5: Solve for x
    x = 81,620,987,849.77/470,609.76
  6. Step 6: Final answer
    x = 173,436.67

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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.