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Finding the Fourth Proportional to 419,101.60, 628,652.40 and 169,783.60

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Solution

The fourth proportional to 419,101.60, 628,652.40 and 169,783.60 is: 254,675.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,101.60 : 628,652.40 = 169,783.60 : x
  2. Step 2: Convert to fraction form
    419,101.60/628,652.40 = 169,783.60/x
  3. Step 3: Cross multiply
    419,101.60x = 628,652.40 × 169,783.60
  4. Step 4: Simplify right side
    419,101.60x = 106,734,867,620.64
  5. Step 5: Solve for x
    x = 106,734,867,620.64/419,101.60
  6. Step 6: Final answer
    x = 254,675.40

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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.