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Finding the Fourth Proportional to 416,765.36, 624,464.58 and 176,687.43

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Solution

The fourth proportional to 416,765.36, 624,464.58 and 176,687.43 is: 264,741.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,765.36 : 624,464.58 = 176,687.43 : x
  2. Step 2: Convert to fraction form
    416,765.36/624,464.58 = 176,687.43/x
  3. Step 3: Cross multiply
    416,765.36x = 624,464.58 × 176,687.43
  4. Step 4: Simplify right side
    416,765.36x = 110,335,041,766.23
  5. Step 5: Solve for x
    x = 110,335,041,766.23/416,765.36
  6. Step 6: Final answer
    x = 264,741.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.