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Finding the Fourth Proportional to 397,016.40, 595,396.62 and 130,713.51

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Solution

The fourth proportional to 397,016.40, 595,396.62 and 130,713.51 is: 196,028.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,016.40 : 595,396.62 = 130,713.51 : x
  2. Step 2: Convert to fraction form
    397,016.40/595,396.62 = 130,713.51/x
  3. Step 3: Cross multiply
    397,016.40x = 595,396.62 × 130,713.51
  4. Step 4: Simplify right side
    397,016.40x = 77,826,382,042.34
  5. Step 5: Solve for x
    x = 77,826,382,042.34/397,016.40
  6. Step 6: Final answer
    x = 196,028.13

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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.