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Finding the Fourth Proportional to 272,690.80, 409,036.20 and 202,706.80

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Solution

The fourth proportional to 272,690.80, 409,036.20 and 202,706.80 is: 304,060.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,690.80 : 409,036.20 = 202,706.80 : x
  2. Step 2: Convert to fraction form
    272,690.80/409,036.20 = 202,706.80/x
  3. Step 3: Cross multiply
    272,690.80x = 409,036.20 × 202,706.80
  4. Step 4: Simplify right side
    272,690.80x = 82,914,419,186.16
  5. Step 5: Solve for x
    x = 82,914,419,186.16/272,690.80
  6. Step 6: Final answer
    x = 304,060.20

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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.