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Finding the Fourth Proportional to 469,419.47, 647,799.21 and 254,559.48

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Solution

The fourth proportional to 469,419.47, 647,799.21 and 254,559.48 is: 351,292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,419.47 : 647,799.21 = 254,559.48 : x
  2. Step 2: Convert to fraction form
    469,419.47/647,799.21 = 254,559.48/x
  3. Step 3: Cross multiply
    469,419.47x = 647,799.21 × 254,559.48
  4. Step 4: Simplify right side
    469,419.47x = 164,903,430,042.01
  5. Step 5: Solve for x
    x = 164,903,430,042.01/469,419.47
  6. Step 6: Final answer
    x = 351,292.27

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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.