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Finding the Fourth Proportional to 403,770.10, 605,436.45 and 166,845.10

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Solution

The fourth proportional to 403,770.10, 605,436.45 and 166,845.10 is: 250,177.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,770.10 : 605,436.45 = 166,845.10 : x
  2. Step 2: Convert to fraction form
    403,770.10/605,436.45 = 166,845.10/x
  3. Step 3: Cross multiply
    403,770.10x = 605,436.45 × 166,845.10
  4. Step 4: Simplify right side
    403,770.10x = 101,014,105,043.90
  5. Step 5: Solve for x
    x = 101,014,105,043.90/403,770.10
  6. Step 6: Final answer
    x = 250,177.28

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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.