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Finding the Fourth Proportional to 397,930.82, 596,961.03 and 117,476.42

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Solution

The fourth proportional to 397,930.82, 596,961.03 and 117,476.42 is: 176,233.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,930.82 : 596,961.03 = 117,476.42 : x
  2. Step 2: Convert to fraction form
    397,930.82/596,961.03 = 117,476.42/x
  3. Step 3: Cross multiply
    397,930.82x = 596,961.03 × 117,476.42
  4. Step 4: Simplify right side
    397,930.82x = 70,128,844,683.91
  5. Step 5: Solve for x
    x = 70,128,844,683.91/397,930.82
  6. Step 6: Final answer
    x = 176,233.76

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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.