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Finding the Fourth Proportional to 402,838.60, 555,873.69 and 233,041

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Solution

The fourth proportional to 402,838.60, 555,873.69 and 233,041 is: 321,571.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,838.60 : 555,873.69 = 233,041 : x
  2. Step 2: Convert to fraction form
    402,838.60/555,873.69 = 233,041/x
  3. Step 3: Cross multiply
    402,838.60x = 555,873.69 × 233,041
  4. Step 4: Simplify right side
    402,838.60x = 129,541,360,591.29
  5. Step 5: Solve for x
    x = 129,541,360,591.29/402,838.60
  6. Step 6: Final answer
    x = 321,571.37

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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.