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Finding the Fourth Proportional to 389,761.68, 582,953.28 and 229,455.60

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Solution

The fourth proportional to 389,761.68, 582,953.28 and 229,455.60 is: 343,188.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,761.68 : 582,953.28 = 229,455.60 : x
  2. Step 2: Convert to fraction form
    389,761.68/582,953.28 = 229,455.60/x
  3. Step 3: Cross multiply
    389,761.68x = 582,953.28 × 229,455.60
  4. Step 4: Simplify right side
    389,761.68x = 133,761,894,634.37
  5. Step 5: Solve for x
    x = 133,761,894,634.37/389,761.68
  6. Step 6: Final answer
    x = 343,188.93

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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.