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Finding the Fourth Proportional to 568,788.31, 853,184.80 and 142,322.96

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Solution

The fourth proportional to 568,788.31, 853,184.80 and 142,322.96 is: 213,485.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,788.31 : 853,184.80 = 142,322.96 : x
  2. Step 2: Convert to fraction form
    568,788.31/853,184.80 = 142,322.96/x
  3. Step 3: Cross multiply
    568,788.31x = 853,184.80 × 142,322.96
  4. Step 4: Simplify right side
    568,788.31x = 121,427,787,940.16
  5. Step 5: Solve for x
    x = 121,427,787,940.16/568,788.31
  6. Step 6: Final answer
    x = 213,485.03

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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.