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Finding the Fourth Proportional to 568,043.60, 851,741.40 and 213,069.20

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Solution

The fourth proportional to 568,043.60, 851,741.40 and 213,069.20 is: 319,482.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,043.60 : 851,741.40 = 213,069.20 : x
  2. Step 2: Convert to fraction form
    568,043.60/851,741.40 = 213,069.20/x
  3. Step 3: Cross multiply
    568,043.60x = 851,741.40 × 213,069.20
  4. Step 4: Simplify right side
    568,043.60x = 181,479,858,704.88
  5. Step 5: Solve for x
    x = 181,479,858,704.88/568,043.60
  6. Step 6: Final answer
    x = 319,482.27

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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.