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Finding the Fourth Proportional to 229,133.20, 343,408.20 and 204,055.60

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Solution

The fourth proportional to 229,133.20, 343,408.20 and 204,055.60 is: 305,823.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,133.20 : 343,408.20 = 204,055.60 : x
  2. Step 2: Convert to fraction form
    229,133.20/343,408.20 = 204,055.60/x
  3. Step 3: Cross multiply
    229,133.20x = 343,408.20 × 204,055.60
  4. Step 4: Simplify right side
    229,133.20x = 70,074,366,295.92
  5. Step 5: Solve for x
    x = 70,074,366,295.92/229,133.20
  6. Step 6: Final answer
    x = 305,823.71

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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.