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Finding the Fourth Proportional to 416,765.48, 624,464.76 and 176,687.54

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Solution

The fourth proportional to 416,765.48, 624,464.76 and 176,687.54 is: 264,741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,765.48 : 624,464.76 = 176,687.54 : x
  2. Step 2: Convert to fraction form
    416,765.48/624,464.76 = 176,687.54/x
  3. Step 3: Cross multiply
    416,765.48x = 624,464.76 × 176,687.54
  4. Step 4: Simplify right side
    416,765.48x = 110,335,142,261.09
  5. Step 5: Solve for x
    x = 110,335,142,261.09/416,765.48
  6. Step 6: Final answer
    x = 264,741.56

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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.