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Finding the Fourth Proportional to 325,855.10, 488,782.65 and 166,422.80

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Solution

The fourth proportional to 325,855.10, 488,782.65 and 166,422.80 is: 249,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,855.10 : 488,782.65 = 166,422.80 : x
  2. Step 2: Convert to fraction form
    325,855.10/488,782.65 = 166,422.80/x
  3. Step 3: Cross multiply
    325,855.10x = 488,782.65 × 166,422.80
  4. Step 4: Simplify right side
    325,855.10x = 81,344,577,204.42
  5. Step 5: Solve for x
    x = 81,344,577,204.42/325,855.10
  6. Step 6: Final answer
    x = 249,634.20

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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.