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Finding the Fourth Proportional to 416,489.84, 624,729.16 and 100,949.48

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Solution

The fourth proportional to 416,489.84, 624,729.16 and 100,949.48 is: 151,422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,489.84 : 624,729.16 = 100,949.48 : x
  2. Step 2: Convert to fraction form
    416,489.84/624,729.16 = 100,949.48/x
  3. Step 3: Cross multiply
    416,489.84x = 624,729.16 × 100,949.48
  4. Step 4: Simplify right side
    416,489.84x = 63,066,083,842.84
  5. Step 5: Solve for x
    x = 63,066,083,842.84/416,489.84
  6. Step 6: Final answer
    x = 151,422.86

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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.