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Finding the Fourth Proportional to 418,601.20, 628,047.60 and 182,113.60

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Solution

The fourth proportional to 418,601.20, 628,047.60 and 182,113.60 is: 273,233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,601.20 : 628,047.60 = 182,113.60 : x
  2. Step 2: Convert to fraction form
    418,601.20/628,047.60 = 182,113.60/x
  3. Step 3: Cross multiply
    418,601.20x = 628,047.60 × 182,113.60
  4. Step 4: Simplify right side
    418,601.20x = 114,376,009,407.36
  5. Step 5: Solve for x
    x = 114,376,009,407.36/418,601.20
  6. Step 6: Final answer
    x = 273,233.83

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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.