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Finding the Fourth Proportional to 413,771.20, 620,656.80 and 147,540.40

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Solution

The fourth proportional to 413,771.20, 620,656.80 and 147,540.40 is: 221,310.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,771.20 : 620,656.80 = 147,540.40 : x
  2. Step 2: Convert to fraction form
    413,771.20/620,656.80 = 147,540.40/x
  3. Step 3: Cross multiply
    413,771.20x = 620,656.80 × 147,540.40
  4. Step 4: Simplify right side
    413,771.20x = 91,571,952,534.72
  5. Step 5: Solve for x
    x = 91,571,952,534.72/413,771.20
  6. Step 6: Final answer
    x = 221,310.60

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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.