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Finding the Fourth Proportional to 468,999.32, 647,221.25 and 254,139.73

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Solution

The fourth proportional to 468,999.32, 647,221.25 and 254,139.73 is: 350,714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,999.32 : 647,221.25 = 254,139.73 : x
  2. Step 2: Convert to fraction form
    468,999.32/647,221.25 = 254,139.73/x
  3. Step 3: Cross multiply
    468,999.32x = 647,221.25 × 254,139.73
  4. Step 4: Simplify right side
    468,999.32x = 164,484,632,742.56
  5. Step 5: Solve for x
    x = 164,484,632,742.56/468,999.32
  6. Step 6: Final answer
    x = 350,714.01

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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.