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Finding the Fourth Proportional to 308,982.48, 463,467.24 and 98,616.84

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Solution

The fourth proportional to 308,982.48, 463,467.24 and 98,616.84 is: 147,923.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,982.48 : 463,467.24 = 98,616.84 : x
  2. Step 2: Convert to fraction form
    308,982.48/463,467.24 = 98,616.84/x
  3. Step 3: Cross multiply
    308,982.48x = 463,467.24 × 98,616.84
  4. Step 4: Simplify right side
    308,982.48x = 45,705,674,652.32
  5. Step 5: Solve for x
    x = 45,705,674,652.32/308,982.48
  6. Step 6: Final answer
    x = 147,923.19

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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.