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Finding the Fourth Proportional to 598,021.92, 825,264.25 and 326,089.13

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Solution

The fourth proportional to 598,021.92, 825,264.25 and 326,089.13 is: 449,999.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,021.92 : 825,264.25 = 326,089.13 : x
  2. Step 2: Convert to fraction form
    598,021.92/825,264.25 = 326,089.13/x
  3. Step 3: Cross multiply
    598,021.92x = 825,264.25 × 326,089.13
  4. Step 4: Simplify right side
    598,021.92x = 269,109,696,361.06
  5. Step 5: Solve for x
    x = 269,109,696,361.06/598,021.92
  6. Step 6: Final answer
    x = 449,999.72

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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.