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Finding the Fourth Proportional to 569,164.78, 853,780.53 and 214,181.86

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Solution

The fourth proportional to 569,164.78, 853,780.53 and 214,181.86 is: 321,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,164.78 : 853,780.53 = 214,181.86 : x
  2. Step 2: Convert to fraction form
    569,164.78/853,780.53 = 214,181.86/x
  3. Step 3: Cross multiply
    569,164.78x = 853,780.53 × 214,181.86
  4. Step 4: Simplify right side
    569,164.78x = 182,864,301,947.19
  5. Step 5: Solve for x
    x = 182,864,301,947.19/569,164.78
  6. Step 6: Final answer
    x = 321,285.34

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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.