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Finding the Fourth Proportional to 468,164.92, 646,062.99 and 253,300.27

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Solution

The fourth proportional to 468,164.92, 646,062.99 and 253,300.27 is: 349,551.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,164.92 : 646,062.99 = 253,300.27 : x
  2. Step 2: Convert to fraction form
    468,164.92/646,062.99 = 253,300.27/x
  3. Step 3: Cross multiply
    468,164.92x = 646,062.99 × 253,300.27
  4. Step 4: Simplify right side
    468,164.92x = 163,647,929,804.01
  5. Step 5: Solve for x
    x = 163,647,929,804.01/468,164.92
  6. Step 6: Final answer
    x = 349,551.88

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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.