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Finding the Fourth Proportional to 468,946.63, 647,145.45 and 254,092.51

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Solution

The fourth proportional to 468,946.63, 647,145.45 and 254,092.51 is: 350,647.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,946.63 : 647,145.45 = 254,092.51 : x
  2. Step 2: Convert to fraction form
    468,946.63/647,145.45 = 254,092.51/x
  3. Step 3: Cross multiply
    468,946.63x = 647,145.45 × 254,092.51
  4. Step 4: Simplify right side
    468,946.63x = 164,434,810,455.12
  5. Step 5: Solve for x
    x = 164,434,810,455.12/468,946.63
  6. Step 6: Final answer
    x = 350,647.17

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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.