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Finding the Fourth Proportional to 410,927.64, 616,469.22 and 233,634.84

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Solution

The fourth proportional to 410,927.64, 616,469.22 and 233,634.84 is: 350,496.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,927.64 : 616,469.22 = 233,634.84 : x
  2. Step 2: Convert to fraction form
    410,927.64/616,469.22 = 233,634.84/x
  3. Step 3: Cross multiply
    410,927.64x = 616,469.22 × 233,634.84
  4. Step 4: Simplify right side
    410,927.64x = 144,028,687,579.63
  5. Step 5: Solve for x
    x = 144,028,687,579.63/410,927.64
  6. Step 6: Final answer
    x = 350,496.47

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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.