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Finding the Fourth Proportional to 417,961.30, 626,860.34 and 133,575.56

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Solution

The fourth proportional to 417,961.30, 626,860.34 and 133,575.56 is: 200,337.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,961.30 : 626,860.34 = 133,575.56 : x
  2. Step 2: Convert to fraction form
    417,961.30/626,860.34 = 133,575.56/x
  3. Step 3: Cross multiply
    417,961.30x = 626,860.34 × 133,575.56
  4. Step 4: Simplify right side
    417,961.30x = 83,733,222,357.47
  5. Step 5: Solve for x
    x = 83,733,222,357.47/417,961.30
  6. Step 6: Final answer
    x = 200,337.26

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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.