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Finding the Fourth Proportional to 468,688.92, 646,787.07 and 253,824

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Solution

The fourth proportional to 468,688.92, 646,787.07 and 253,824 is: 350,275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,688.92 : 646,787.07 = 253,824 : x
  2. Step 2: Convert to fraction form
    468,688.92/646,787.07 = 253,824/x
  3. Step 3: Cross multiply
    468,688.92x = 646,787.07 × 253,824
  4. Step 4: Simplify right side
    468,688.92x = 164,170,081,255.68
  5. Step 5: Solve for x
    x = 164,170,081,255.68/468,688.92
  6. Step 6: Final answer
    x = 350,275.15

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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.