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Finding the Fourth Proportional to 313,371.80, 470,057.70 and 76,711.40

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Solution

The fourth proportional to 313,371.80, 470,057.70 and 76,711.40 is: 115,067.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,371.80 : 470,057.70 = 76,711.40 : x
  2. Step 2: Convert to fraction form
    313,371.80/470,057.70 = 76,711.40/x
  3. Step 3: Cross multiply
    313,371.80x = 470,057.70 × 76,711.40
  4. Step 4: Simplify right side
    313,371.80x = 36,058,784,247.78
  5. Step 5: Solve for x
    x = 36,058,784,247.78/313,371.80
  6. Step 6: Final answer
    x = 115,067.10

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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.