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Finding the Fourth Proportional to 313,402.26, 470,290.18 and 113,738.24

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Solution

The fourth proportional to 313,402.26, 470,290.18 and 113,738.24 is: 170,675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,402.26 : 470,290.18 = 113,738.24 : x
  2. Step 2: Convert to fraction form
    313,402.26/470,290.18 = 113,738.24/x
  3. Step 3: Cross multiply
    313,402.26x = 470,290.18 × 113,738.24
  4. Step 4: Simplify right side
    313,402.26x = 53,489,977,362.48
  5. Step 5: Solve for x
    x = 53,489,977,362.48/313,402.26
  6. Step 6: Final answer
    x = 170,675.15

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1.5x scale

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.