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Finding the Fourth Proportional to 403,466, 605,144.64 and 166,775.84

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Solution

The fourth proportional to 403,466, 605,144.64 and 166,775.84 is: 250,141.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,466 : 605,144.64 = 166,775.84 : x
  2. Step 2: Convert to fraction form
    403,466/605,144.64 = 166,775.84/x
  3. Step 3: Cross multiply
    403,466x = 605,144.64 × 166,775.84
  4. Step 4: Simplify right side
    403,466x = 100,923,505,657.50
  5. Step 5: Solve for x
    x = 100,923,505,657.50/403,466
  6. Step 6: Final answer
    x = 250,141.29

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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.