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Finding the Fourth Proportional to 380,496.45, 570,749.46 and 114,241.48

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Solution

The fourth proportional to 380,496.45, 570,749.46 and 114,241.48 is: 171,363.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,496.45 : 570,749.46 = 114,241.48 : x
  2. Step 2: Convert to fraction form
    380,496.45/570,749.46 = 114,241.48/x
  3. Step 3: Cross multiply
    380,496.45x = 570,749.46 × 114,241.48
  4. Step 4: Simplify right side
    380,496.45x = 65,203,263,019.60
  5. Step 5: Solve for x
    x = 65,203,263,019.60/380,496.45
  6. Step 6: Final answer
    x = 171,363.66

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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.