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Finding the Fourth Proportional to 496,218.80, 744,425.40 and 211,908.80

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Solution

The fourth proportional to 496,218.80, 744,425.40 and 211,908.80 is: 317,904.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,218.80 : 744,425.40 = 211,908.80 : x
  2. Step 2: Convert to fraction form
    496,218.80/744,425.40 = 211,908.80/x
  3. Step 3: Cross multiply
    496,218.80x = 744,425.40 × 211,908.80
  4. Step 4: Simplify right side
    496,218.80x = 157,750,293,203.52
  5. Step 5: Solve for x
    x = 157,750,293,203.52/496,218.80
  6. Step 6: Final answer
    x = 317,904.71

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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.