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Finding the Fourth Proportional to 567,899.74, 851,857.04 and 188,820.48

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Solution

The fourth proportional to 567,899.74, 851,857.04 and 188,820.48 is: 283,233.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,899.74 : 851,857.04 = 188,820.48 : x
  2. Step 2: Convert to fraction form
    567,899.74/851,857.04 = 188,820.48/x
  3. Step 3: Cross multiply
    567,899.74x = 851,857.04 × 188,820.48
  4. Step 4: Simplify right side
    567,899.74x = 160,848,052,109.76
  5. Step 5: Solve for x
    x = 160,848,052,109.76/567,899.74
  6. Step 6: Final answer
    x = 283,233.18

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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.