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Finding the Fourth Proportional to 313,861.80, 470,907.90 and 126,892.20

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Solution

The fourth proportional to 313,861.80, 470,907.90 and 126,892.20 is: 190,384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,861.80 : 470,907.90 = 126,892.20 : x
  2. Step 2: Convert to fraction form
    313,861.80/470,907.90 = 126,892.20/x
  3. Step 3: Cross multiply
    313,861.80x = 470,907.90 × 126,892.20
  4. Step 4: Simplify right side
    313,861.80x = 59,754,539,428.38
  5. Step 5: Solve for x
    x = 59,754,539,428.38/313,861.80
  6. Step 6: Final answer
    x = 190,384.87

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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.