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Finding the Fourth Proportional to 416,110.40, 624,165.60 and 266,811.20

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Solution

The fourth proportional to 416,110.40, 624,165.60 and 266,811.20 is: 400,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,110.40 : 624,165.60 = 266,811.20 : x
  2. Step 2: Convert to fraction form
    416,110.40/624,165.60 = 266,811.20/x
  3. Step 3: Cross multiply
    416,110.40x = 624,165.60 × 266,811.20
  4. Step 4: Simplify right side
    416,110.40x = 166,534,372,734.72
  5. Step 5: Solve for x
    x = 166,534,372,734.72/416,110.40
  6. Step 6: Final answer
    x = 400,216.80

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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.