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Finding the Fourth Proportional to 313,546.38, 470,316.94 and 186,344.22

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Solution

The fourth proportional to 313,546.38, 470,316.94 and 186,344.22 is: 279,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,546.38 : 470,316.94 = 186,344.22 : x
  2. Step 2: Convert to fraction form
    313,546.38/470,316.94 = 186,344.22/x
  3. Step 3: Cross multiply
    313,546.38x = 470,316.94 × 186,344.22
  4. Step 4: Simplify right side
    313,546.38x = 87,640,843,337.09
  5. Step 5: Solve for x
    x = 87,640,843,337.09/313,546.38
  6. Step 6: Final answer
    x = 279,514.77

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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.