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Finding the Fourth Proportional to 384,093.20, 576,139.80 and 226,629.20

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Solution

The fourth proportional to 384,093.20, 576,139.80 and 226,629.20 is: 339,943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,093.20 : 576,139.80 = 226,629.20 : x
  2. Step 2: Convert to fraction form
    384,093.20/576,139.80 = 226,629.20/x
  3. Step 3: Cross multiply
    384,093.20x = 576,139.80 × 226,629.20
  4. Step 4: Simplify right side
    384,093.20x = 130,570,101,962.16
  5. Step 5: Solve for x
    x = 130,570,101,962.16/384,093.20
  6. Step 6: Final answer
    x = 339,943.80

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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.