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Finding the Fourth Proportional to 569,266.80, 853,669.80 and 195,097.20

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Solution

The fourth proportional to 569,266.80, 853,669.80 and 195,097.20 is: 292,566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,266.80 : 853,669.80 = 195,097.20 : x
  2. Step 2: Convert to fraction form
    569,266.80/853,669.80 = 195,097.20/x
  3. Step 3: Cross multiply
    569,266.80x = 853,669.80 × 195,097.20
  4. Step 4: Simplify right side
    569,266.80x = 166,548,587,704.56
  5. Step 5: Solve for x
    x = 166,548,587,704.56/569,266.80
  6. Step 6: Final answer
    x = 292,566.84

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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.