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Finding the Fourth Proportional to 601,517.80, 902,406.30 and 180,836.20

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Solution

The fourth proportional to 601,517.80, 902,406.30 and 180,836.20 is: 271,293.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,517.80 : 902,406.30 = 180,836.20 : x
  2. Step 2: Convert to fraction form
    601,517.80/902,406.30 = 180,836.20/x
  3. Step 3: Cross multiply
    601,517.80x = 902,406.30 × 180,836.20
  4. Step 4: Simplify right side
    601,517.80x = 163,187,726,148.06
  5. Step 5: Solve for x
    x = 163,187,726,148.06/601,517.80
  6. Step 6: Final answer
    x = 271,293.26

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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.