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Finding the Fourth Proportional to 416,935.20, 624,481.20 and 322,701.60

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Solution

The fourth proportional to 416,935.20, 624,481.20 and 322,701.60 is: 483,339.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,935.20 : 624,481.20 = 322,701.60 : x
  2. Step 2: Convert to fraction form
    416,935.20/624,481.20 = 322,701.60/x
  3. Step 3: Cross multiply
    416,935.20x = 624,481.20 × 322,701.60
  4. Step 4: Simplify right side
    416,935.20x = 201,521,082,409.92
  5. Step 5: Solve for x
    x = 201,521,082,409.92/416,935.20
  6. Step 6: Final answer
    x = 483,339.10

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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.