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Finding the Fourth Proportional to 480,100, 662,538 and 268,132

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Solution

The fourth proportional to 480,100, 662,538 and 268,132 is: 370,022.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,100 : 662,538 = 268,132 : x
  2. Step 2: Convert to fraction form
    480,100/662,538 = 268,132/x
  3. Step 3: Cross multiply
    480,100x = 662,538 × 268,132
  4. Step 4: Simplify right side
    480,100x = 177,647,639,016
  5. Step 5: Solve for x
    x = 177,647,639,016/480,100
  6. Step 6: Final answer
    x = 370,022.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.