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Finding the Fourth Proportional to 313,985.80, 470,978.70 and 195,790.60

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Solution

The fourth proportional to 313,985.80, 470,978.70 and 195,790.60 is: 293,685.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,985.80 : 470,978.70 = 195,790.60 : x
  2. Step 2: Convert to fraction form
    313,985.80/470,978.70 = 195,790.60/x
  3. Step 3: Cross multiply
    313,985.80x = 470,978.70 × 195,790.60
  4. Step 4: Simplify right side
    313,985.80x = 92,213,202,260.22
  5. Step 5: Solve for x
    x = 92,213,202,260.22/313,985.80
  6. Step 6: Final answer
    x = 293,685.90

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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.