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Finding the Fourth Proportional to 403,586.40, 605,149.20 and 166,648.80

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Solution

The fourth proportional to 403,586.40, 605,149.20 and 166,648.80 is: 249,878.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,586.40 : 605,149.20 = 166,648.80 : x
  2. Step 2: Convert to fraction form
    403,586.40/605,149.20 = 166,648.80/x
  3. Step 3: Cross multiply
    403,586.40x = 605,149.20 × 166,648.80
  4. Step 4: Simplify right side
    403,586.40x = 100,847,388,000.96
  5. Step 5: Solve for x
    x = 100,847,388,000.96/403,586.40
  6. Step 6: Final answer
    x = 249,878.06

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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.