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Finding the Fourth Proportional to 333,964, 460,871.94 and 199,828

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Solution

The fourth proportional to 333,964, 460,871.94 and 199,828 is: 275,763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,964 : 460,871.94 = 199,828 : x
  2. Step 2: Convert to fraction form
    333,964/460,871.94 = 199,828/x
  3. Step 3: Cross multiply
    333,964x = 460,871.94 × 199,828
  4. Step 4: Simplify right side
    333,964x = 92,095,118,026.32
  5. Step 5: Solve for x
    x = 92,095,118,026.32/333,964
  6. Step 6: Final answer
    x = 275,763.61

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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.