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Finding the Fourth Proportional to 313,556.35, 470,198.45 and 113,810.35

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Solution

The fourth proportional to 313,556.35, 470,198.45 and 113,810.35 is: 170,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,556.35 : 470,198.45 = 113,810.35 : x
  2. Step 2: Convert to fraction form
    313,556.35/470,198.45 = 113,810.35/x
  3. Step 3: Cross multiply
    313,556.35x = 470,198.45 × 113,810.35
  4. Step 4: Simplify right side
    313,556.35x = 53,513,449,594.91
  5. Step 5: Solve for x
    x = 53,513,449,594.91/313,556.35
  6. Step 6: Final answer
    x = 170,666.13

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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.