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Finding the Fourth Proportional to 229,270.40, 343,905.60 and 225,771.20

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Solution

The fourth proportional to 229,270.40, 343,905.60 and 225,771.20 is: 338,656.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,270.40 : 343,905.60 = 225,771.20 : x
  2. Step 2: Convert to fraction form
    229,270.40/343,905.60 = 225,771.20/x
  3. Step 3: Cross multiply
    229,270.40x = 343,905.60 × 225,771.20
  4. Step 4: Simplify right side
    229,270.40x = 77,643,979,998.72
  5. Step 5: Solve for x
    x = 77,643,979,998.72/229,270.40
  6. Step 6: Final answer
    x = 338,656.80

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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.