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Finding the Fourth Proportional to 403,827.60, 605,522.70 and 167,194.20

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Solution

The fourth proportional to 403,827.60, 605,522.70 and 167,194.20 is: 250,700.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,827.60 : 605,522.70 = 167,194.20 : x
  2. Step 2: Convert to fraction form
    403,827.60/605,522.70 = 167,194.20/x
  3. Step 3: Cross multiply
    403,827.60x = 605,522.70 × 167,194.20
  4. Step 4: Simplify right side
    403,827.60x = 101,239,883,408.34
  5. Step 5: Solve for x
    x = 101,239,883,408.34/403,827.60
  6. Step 6: Final answer
    x = 250,700.75

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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.