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Finding the Fourth Proportional to 408,022.40, 563,059.60 and 226,729.60

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Solution

The fourth proportional to 408,022.40, 563,059.60 and 226,729.60 is: 312,880.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,022.40 : 563,059.60 = 226,729.60 : x
  2. Step 2: Convert to fraction form
    408,022.40/563,059.60 = 226,729.60/x
  3. Step 3: Cross multiply
    408,022.40x = 563,059.60 × 226,729.60
  4. Step 4: Simplify right side
    408,022.40x = 127,662,277,884.16
  5. Step 5: Solve for x
    x = 127,662,277,884.16/408,022.40
  6. Step 6: Final answer
    x = 312,880.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.