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Finding the Fourth Proportional to 313,423.80, 470,178.90 and 113,695.80

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Solution

The fourth proportional to 313,423.80, 470,178.90 and 113,695.80 is: 170,559.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,423.80 : 470,178.90 = 113,695.80 : x
  2. Step 2: Convert to fraction form
    313,423.80/470,178.90 = 113,695.80/x
  3. Step 3: Cross multiply
    313,423.80x = 470,178.90 × 113,695.80
  4. Step 4: Simplify right side
    313,423.80x = 53,457,366,178.62
  5. Step 5: Solve for x
    x = 53,457,366,178.62/313,423.80
  6. Step 6: Final answer
    x = 170,559.37

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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.