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Finding the Fourth Proportional to 469,541.88, 647,963.03 and 254,677.33

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Solution

The fourth proportional to 469,541.88, 647,963.03 and 254,677.33 is: 351,452.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,541.88 : 647,963.03 = 254,677.33 : x
  2. Step 2: Convert to fraction form
    469,541.88/647,963.03 = 254,677.33/x
  3. Step 3: Cross multiply
    469,541.88x = 647,963.03 × 254,677.33
  4. Step 4: Simplify right side
    469,541.88x = 165,021,494,419.11
  5. Step 5: Solve for x
    x = 165,021,494,419.11/469,541.88
  6. Step 6: Final answer
    x = 351,452.13

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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.