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Finding the Fourth Proportional to 402,662.20, 604,066.20 and 202,478.80

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Solution

The fourth proportional to 402,662.20, 604,066.20 and 202,478.80 is: 303,754.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,662.20 : 604,066.20 = 202,478.80 : x
  2. Step 2: Convert to fraction form
    402,662.20/604,066.20 = 202,478.80/x
  3. Step 3: Cross multiply
    402,662.20x = 604,066.20 × 202,478.80
  4. Step 4: Simplify right side
    402,662.20x = 122,310,599,296.56
  5. Step 5: Solve for x
    x = 122,310,599,296.56/402,662.20
  6. Step 6: Final answer
    x = 303,754.86

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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.