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Finding the Fourth Proportional to 436,100.80, 654,064.80 and 211,460.80

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Solution

The fourth proportional to 436,100.80, 654,064.80 and 211,460.80 is: 317,149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,100.80 : 654,064.80 = 211,460.80 : x
  2. Step 2: Convert to fraction form
    436,100.80/654,064.80 = 211,460.80/x
  3. Step 3: Cross multiply
    436,100.80x = 654,064.80 × 211,460.80
  4. Step 4: Simplify right side
    436,100.80x = 138,309,065,859.84
  5. Step 5: Solve for x
    x = 138,309,065,859.84/436,100.80
  6. Step 6: Final answer
    x = 317,149.31

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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.