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Finding the Fourth Proportional to 502,642.80, 753,964.20 and 222,706.80

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Solution

The fourth proportional to 502,642.80, 753,964.20 and 222,706.80 is: 334,060.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,642.80 : 753,964.20 = 222,706.80 : x
  2. Step 2: Convert to fraction form
    502,642.80/753,964.20 = 222,706.80/x
  3. Step 3: Cross multiply
    502,642.80x = 753,964.20 × 222,706.80
  4. Step 4: Simplify right side
    502,642.80x = 167,912,954,296.56
  5. Step 5: Solve for x
    x = 167,912,954,296.56/502,642.80
  6. Step 6: Final answer
    x = 334,060.20

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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.