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Finding the Fourth Proportional to 397,874, 596,920.36 and 117,391.26

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Solution

The fourth proportional to 397,874, 596,920.36 and 117,391.26 is: 176,119.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,874 : 596,920.36 = 117,391.26 : x
  2. Step 2: Convert to fraction form
    397,874/596,920.36 = 117,391.26/x
  3. Step 3: Cross multiply
    397,874x = 596,920.36 × 117,391.26
  4. Step 4: Simplify right side
    397,874x = 70,073,233,180.05
  5. Step 5: Solve for x
    x = 70,073,233,180.05/397,874
  6. Step 6: Final answer
    x = 176,119.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.