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Finding the Fourth Proportional to 378,605.84, 522,422.34 and 235,313.60

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Solution

The fourth proportional to 378,605.84, 522,422.34 and 235,313.60 is: 324,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,605.84 : 522,422.34 = 235,313.60 : x
  2. Step 2: Convert to fraction form
    378,605.84/522,422.34 = 235,313.60/x
  3. Step 3: Cross multiply
    378,605.84x = 522,422.34 × 235,313.60
  4. Step 4: Simplify right side
    378,605.84x = 122,933,081,545.82
  5. Step 5: Solve for x
    x = 122,933,081,545.82/378,605.84
  6. Step 6: Final answer
    x = 324,699.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.