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Finding the Fourth Proportional to 461,308.80, 691,858.56 and 211,751.04

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Solution

The fourth proportional to 461,308.80, 691,858.56 and 211,751.04 is: 317,578.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,308.80 : 691,858.56 = 211,751.04 : x
  2. Step 2: Convert to fraction form
    461,308.80/691,858.56 = 211,751.04/x
  3. Step 3: Cross multiply
    461,308.80x = 691,858.56 × 211,751.04
  4. Step 4: Simplify right side
    461,308.80x = 146,501,769,612.90
  5. Step 5: Solve for x
    x = 146,501,769,612.90/461,308.80
  6. Step 6: Final answer
    x = 317,578.53

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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.