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Finding the Fourth Proportional to 468,627.44, 646,708.92 and 253,767.48

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Solution

The fourth proportional to 468,627.44, 646,708.92 and 253,767.48 is: 350,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,627.44 : 646,708.92 = 253,767.48 : x
  2. Step 2: Convert to fraction form
    468,627.44/646,708.92 = 253,767.48/x
  3. Step 3: Cross multiply
    468,627.44x = 646,708.92 × 253,767.48
  4. Step 4: Simplify right side
    468,627.44x = 164,113,692,921.92
  5. Step 5: Solve for x
    x = 164,113,692,921.92/468,627.44
  6. Step 6: Final answer
    x = 350,200.78

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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.