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Finding the Fourth Proportional to 468,962.62, 647,168.99 and 254,102.51

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Solution

The fourth proportional to 468,962.62, 647,168.99 and 254,102.51 is: 350,661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,962.62 : 647,168.99 = 254,102.51 : x
  2. Step 2: Convert to fraction form
    468,962.62/647,168.99 = 254,102.51/x
  3. Step 3: Cross multiply
    468,962.62x = 647,168.99 × 254,102.51
  4. Step 4: Simplify right side
    468,962.62x = 164,447,265,100.58
  5. Step 5: Solve for x
    x = 164,447,265,100.58/468,962.62
  6. Step 6: Final answer
    x = 350,661.78

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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.