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Finding the Fourth Proportional to 469,416.47, 647,795.07 and 254,556.47

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Solution

The fourth proportional to 469,416.47, 647,795.07 and 254,556.47 is: 351,288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,416.47 : 647,795.07 = 254,556.47 : x
  2. Step 2: Convert to fraction form
    469,416.47/647,795.07 = 254,556.47/x
  3. Step 3: Cross multiply
    469,416.47x = 647,795.07 × 254,556.47
  4. Step 4: Simplify right side
    469,416.47x = 164,900,427,922.09
  5. Step 5: Solve for x
    x = 164,900,427,922.09/469,416.47
  6. Step 6: Final answer
    x = 351,288.12

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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.