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Finding the Fourth Proportional to 413,200.28, 620,132.52 and 213,579.16

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Solution

The fourth proportional to 413,200.28, 620,132.52 and 213,579.16 is: 320,540.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,200.28 : 620,132.52 = 213,579.16 : x
  2. Step 2: Convert to fraction form
    413,200.28/620,132.52 = 213,579.16/x
  3. Step 3: Cross multiply
    413,200.28x = 620,132.52 × 213,579.16
  4. Step 4: Simplify right side
    413,200.28x = 132,447,382,710.28
  5. Step 5: Solve for x
    x = 132,447,382,710.28/413,200.28
  6. Step 6: Final answer
    x = 320,540.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.