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Finding the Fourth Proportional to 403,766.10, 605,430.45 and 166,841.10

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Solution

The fourth proportional to 403,766.10, 605,430.45 and 166,841.10 is: 250,171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,766.10 : 605,430.45 = 166,841.10 : x
  2. Step 2: Convert to fraction form
    403,766.10/605,430.45 = 166,841.10/x
  3. Step 3: Cross multiply
    403,766.10x = 605,430.45 × 166,841.10
  4. Step 4: Simplify right side
    403,766.10x = 101,010,682,251.50
  5. Step 5: Solve for x
    x = 101,010,682,251.50/403,766.10
  6. Step 6: Final answer
    x = 250,171.28

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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.