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Finding the Fourth Proportional to 569,145.74, 853,752.02 and 214,162.83

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Solution

The fourth proportional to 569,145.74, 853,752.02 and 214,162.83 is: 321,256.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,145.74 : 853,752.02 = 214,162.83 : x
  2. Step 2: Convert to fraction form
    569,145.74/853,752.02 = 214,162.83/x
  3. Step 3: Cross multiply
    569,145.74x = 853,752.02 × 214,162.83
  4. Step 4: Simplify right side
    569,145.74x = 182,841,947,650.60
  5. Step 5: Solve for x
    x = 182,841,947,650.60/569,145.74
  6. Step 6: Final answer
    x = 321,256.82

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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.