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Finding the Fourth Proportional to 569,057.40, 853,634.70 and 195,080.40

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Solution

The fourth proportional to 569,057.40, 853,634.70 and 195,080.40 is: 292,637.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,057.40 : 853,634.70 = 195,080.40 : x
  2. Step 2: Convert to fraction form
    569,057.40/853,634.70 = 195,080.40/x
  3. Step 3: Cross multiply
    569,057.40x = 853,634.70 × 195,080.40
  4. Step 4: Simplify right side
    569,057.40x = 166,527,398,729.88
  5. Step 5: Solve for x
    x = 166,527,398,729.88/569,057.40
  6. Step 6: Final answer
    x = 292,637.26

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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.