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Finding the Fourth Proportional to 404,222.20, 606,419.70 and 123,767.80

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Solution

The fourth proportional to 404,222.20, 606,419.70 and 123,767.80 is: 185,678.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,222.20 : 606,419.70 = 123,767.80 : x
  2. Step 2: Convert to fraction form
    404,222.20/606,419.70 = 123,767.80/x
  3. Step 3: Cross multiply
    404,222.20x = 606,419.70 × 123,767.80
  4. Step 4: Simplify right side
    404,222.20x = 75,055,232,145.66
  5. Step 5: Solve for x
    x = 75,055,232,145.66/404,222.20
  6. Step 6: Final answer
    x = 185,678.15

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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.