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Finding the Fourth Proportional to 569,148.36, 853,755.95 and 214,165.46

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Solution

The fourth proportional to 569,148.36, 853,755.95 and 214,165.46 is: 321,260.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,148.36 : 853,755.95 = 214,165.46 : x
  2. Step 2: Convert to fraction form
    569,148.36/853,755.95 = 214,165.46/x
  3. Step 3: Cross multiply
    569,148.36x = 853,755.95 × 214,165.46
  4. Step 4: Simplify right side
    569,148.36x = 182,845,032,026.12
  5. Step 5: Solve for x
    x = 182,845,032,026.12/569,148.36
  6. Step 6: Final answer
    x = 321,260.76

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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.