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Finding the Fourth Proportional to 275,321.40, 412,982.10 and 157,223.40

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Solution

The fourth proportional to 275,321.40, 412,982.10 and 157,223.40 is: 235,835.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,321.40 : 412,982.10 = 157,223.40 : x
  2. Step 2: Convert to fraction form
    275,321.40/412,982.10 = 157,223.40/x
  3. Step 3: Cross multiply
    275,321.40x = 412,982.10 × 157,223.40
  4. Step 4: Simplify right side
    275,321.40x = 64,930,449,901.14
  5. Step 5: Solve for x
    x = 64,930,449,901.14/275,321.40
  6. Step 6: Final answer
    x = 235,835.10

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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.