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Finding the Fourth Proportional to 275,057.60, 412,489.20 and 97,570.40

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Solution

The fourth proportional to 275,057.60, 412,489.20 and 97,570.40 is: 146,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,057.60 : 412,489.20 = 97,570.40 : x
  2. Step 2: Convert to fraction form
    275,057.60/412,489.20 = 97,570.40/x
  3. Step 3: Cross multiply
    275,057.60x = 412,489.20 × 97,570.40
  4. Step 4: Simplify right side
    275,057.60x = 40,246,736,239.68
  5. Step 5: Solve for x
    x = 40,246,736,239.68/275,057.60
  6. Step 6: Final answer
    x = 146,321.12

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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.