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Finding the Fourth Proportional to 403,748.60, 605,404.20 and 166,823.60

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Solution

The fourth proportional to 403,748.60, 605,404.20 and 166,823.60 is: 250,145.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,748.60 : 605,404.20 = 166,823.60 : x
  2. Step 2: Convert to fraction form
    403,748.60/605,404.20 = 166,823.60/x
  3. Step 3: Cross multiply
    403,748.60x = 605,404.20 × 166,823.60
  4. Step 4: Simplify right side
    403,748.60x = 100,995,708,099.12
  5. Step 5: Solve for x
    x = 100,995,708,099.12/403,748.60
  6. Step 6: Final answer
    x = 250,145.04

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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.