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Finding the Fourth Proportional to 587,296.80, 881,175.60 and 213,357.60

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Solution

The fourth proportional to 587,296.80, 881,175.60 and 213,357.60 is: 320,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,296.80 : 881,175.60 = 213,357.60 : x
  2. Step 2: Convert to fraction form
    587,296.80/881,175.60 = 213,357.60/x
  3. Step 3: Cross multiply
    587,296.80x = 881,175.60 × 213,357.60
  4. Step 4: Simplify right side
    587,296.80x = 188,005,511,194.56
  5. Step 5: Solve for x
    x = 188,005,511,194.56/587,296.80
  6. Step 6: Final answer
    x = 320,120.10

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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.