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Finding the Fourth Proportional to 308,843.10, 463,221.45 and 98,502.30

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Solution

The fourth proportional to 308,843.10, 463,221.45 and 98,502.30 is: 147,739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,843.10 : 463,221.45 = 98,502.30 : x
  2. Step 2: Convert to fraction form
    308,843.10/463,221.45 = 98,502.30/x
  3. Step 3: Cross multiply
    308,843.10x = 463,221.45 × 98,502.30
  4. Step 4: Simplify right side
    308,843.10x = 45,628,378,234.34
  5. Step 5: Solve for x
    x = 45,628,378,234.34/308,843.10
  6. Step 6: Final answer
    x = 147,739.67

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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.