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Finding the Fourth Proportional to 468,843.71, 647,004.62 and 253,984.62

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Solution

The fourth proportional to 468,843.71, 647,004.62 and 253,984.62 is: 350,498.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,843.71 : 647,004.62 = 253,984.62 : x
  2. Step 2: Convert to fraction form
    468,843.71/647,004.62 = 253,984.62/x
  3. Step 3: Cross multiply
    468,843.71x = 647,004.62 × 253,984.62
  4. Step 4: Simplify right side
    468,843.71x = 164,329,221,279.02
  5. Step 5: Solve for x
    x = 164,329,221,279.02/468,843.71
  6. Step 6: Final answer
    x = 350,498.94

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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.