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Finding the Fourth Proportional to 313,358.40, 470,037.60 and 102,945.60

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Solution

The fourth proportional to 313,358.40, 470,037.60 and 102,945.60 is: 154,418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,358.40 : 470,037.60 = 102,945.60 : x
  2. Step 2: Convert to fraction form
    313,358.40/470,037.60 = 102,945.60/x
  3. Step 3: Cross multiply
    313,358.40x = 470,037.60 × 102,945.60
  4. Step 4: Simplify right side
    313,358.40x = 48,388,302,754.56
  5. Step 5: Solve for x
    x = 48,388,302,754.56/313,358.40
  6. Step 6: Final answer
    x = 154,418.40

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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.