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Finding the Fourth Proportional to 405,513.80, 608,213.10 and 125,059.40

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Solution

The fourth proportional to 405,513.80, 608,213.10 and 125,059.40 is: 187,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,513.80 : 608,213.10 = 125,059.40 : x
  2. Step 2: Convert to fraction form
    405,513.80/608,213.10 = 125,059.40/x
  3. Step 3: Cross multiply
    405,513.80x = 608,213.10 × 125,059.40
  4. Step 4: Simplify right side
    405,513.80x = 76,062,765,358.14
  5. Step 5: Solve for x
    x = 76,062,765,358.14/405,513.80
  6. Step 6: Final answer
    x = 187,571.34

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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.