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Finding the Fourth Proportional to 469,094.63, 647,351.71 and 254,234.64

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Solution

The fourth proportional to 469,094.63, 647,351.71 and 254,234.64 is: 350,844.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,094.63 : 647,351.71 = 254,234.64 : x
  2. Step 2: Convert to fraction form
    469,094.63/647,351.71 = 254,234.64/x
  3. Step 3: Cross multiply
    469,094.63x = 647,351.71 × 254,234.64
  4. Step 4: Simplify right side
    469,094.63x = 164,579,228,945.23
  5. Step 5: Solve for x
    x = 164,579,228,945.23/469,094.63
  6. Step 6: Final answer
    x = 350,844.41

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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.