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Finding the Fourth Proportional to 413,628.32, 619,273.92 and 337,274.24

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Solution

The fourth proportional to 413,628.32, 619,273.92 and 337,274.24 is: 504,958.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,628.32 : 619,273.92 = 337,274.24 : x
  2. Step 2: Convert to fraction form
    413,628.32/619,273.92 = 337,274.24/x
  3. Step 3: Cross multiply
    413,628.32x = 619,273.92 × 337,274.24
  4. Step 4: Simplify right side
    413,628.32x = 208,865,140,719.82
  5. Step 5: Solve for x
    x = 208,865,140,719.82/413,628.32
  6. Step 6: Final answer
    x = 504,958.51

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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.