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Finding the Fourth Proportional to 313,386.63, 470,266.73 and 113,722.59

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Solution

The fourth proportional to 313,386.63, 470,266.73 and 113,722.59 is: 170,651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,386.63 : 470,266.73 = 113,722.59 : x
  2. Step 2: Convert to fraction form
    313,386.63/470,266.73 = 113,722.59/x
  3. Step 3: Cross multiply
    313,386.63x = 470,266.73 × 113,722.59
  4. Step 4: Simplify right side
    313,386.63x = 53,479,950,526.43
  5. Step 5: Solve for x
    x = 53,479,950,526.43/313,386.63
  6. Step 6: Final answer
    x = 170,651.67

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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.