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Finding the Fourth Proportional to 569,665.92, 853,751.52 and 419,201.76

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Solution

The fourth proportional to 569,665.92, 853,751.52 and 419,201.76 is: 628,252.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,665.92 : 853,751.52 = 419,201.76 : x
  2. Step 2: Convert to fraction form
    569,665.92/853,751.52 = 419,201.76/x
  3. Step 3: Cross multiply
    569,665.92x = 853,751.52 × 419,201.76
  4. Step 4: Simplify right side
    569,665.92x = 357,894,139,786.68
  5. Step 5: Solve for x
    x = 357,894,139,786.68/569,665.92
  6. Step 6: Final answer
    x = 628,252.68

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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.