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Finding the Fourth Proportional to 460,668.92, 635,505.81 and 269,564

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Solution

The fourth proportional to 460,668.92, 635,505.81 and 269,564 is: 371,871.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,668.92 : 635,505.81 = 269,564 : x
  2. Step 2: Convert to fraction form
    460,668.92/635,505.81 = 269,564/x
  3. Step 3: Cross multiply
    460,668.92x = 635,505.81 × 269,564
  4. Step 4: Simplify right side
    460,668.92x = 171,309,488,166.84
  5. Step 5: Solve for x
    x = 171,309,488,166.84/460,668.92
  6. Step 6: Final answer
    x = 371,871.17

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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.