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Finding the Fourth Proportional to 313,824.30, 470,736.45 and 274,458.30

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Solution

The fourth proportional to 313,824.30, 470,736.45 and 274,458.30 is: 411,687.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,824.30 : 470,736.45 = 274,458.30 : x
  2. Step 2: Convert to fraction form
    313,824.30/470,736.45 = 274,458.30/x
  3. Step 3: Cross multiply
    313,824.30x = 470,736.45 × 274,458.30
  4. Step 4: Simplify right side
    313,824.30x = 129,197,525,815.04
  5. Step 5: Solve for x
    x = 129,197,525,815.04/313,824.30
  6. Step 6: Final answer
    x = 411,687.45

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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.