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Finding the Fourth Proportional to 313,386.13, 470,265.99 and 113,722.10

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Solution

The fourth proportional to 313,386.13, 470,265.99 and 113,722.10 is: 170,650.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,386.13 : 470,265.99 = 113,722.10 : x
  2. Step 2: Convert to fraction form
    313,386.13/470,265.99 = 113,722.10/x
  3. Step 3: Cross multiply
    313,386.13x = 470,265.99 × 113,722.10
  4. Step 4: Simplify right side
    313,386.13x = 53,479,633,021.44
  5. Step 5: Solve for x
    x = 53,479,633,021.44/313,386.13
  6. Step 6: Final answer
    x = 170,650.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.