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Finding the Fourth Proportional to 333,804, 460,649.52 and 199,668

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Solution

The fourth proportional to 333,804, 460,649.52 and 199,668 is: 275,541.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,804 : 460,649.52 = 199,668 : x
  2. Step 2: Convert to fraction form
    333,804/460,649.52 = 199,668/x
  3. Step 3: Cross multiply
    333,804x = 460,649.52 × 199,668
  4. Step 4: Simplify right side
    333,804x = 91,976,968,359.36
  5. Step 5: Solve for x
    x = 91,976,968,359.36/333,804
  6. Step 6: Final answer
    x = 275,541.84

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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.