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Finding the Fourth Proportional to 569,024.56, 853,663.84 and 214,041.52

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Solution

The fourth proportional to 569,024.56, 853,663.84 and 214,041.52 is: 321,110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,024.56 : 853,663.84 = 214,041.52 : x
  2. Step 2: Convert to fraction form
    569,024.56/853,663.84 = 214,041.52/x
  3. Step 3: Cross multiply
    569,024.56x = 853,663.84 × 214,041.52
  4. Step 4: Simplify right side
    569,024.56x = 182,719,505,882.64
  5. Step 5: Solve for x
    x = 182,719,505,882.64/569,024.56
  6. Step 6: Final answer
    x = 321,110.05

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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.