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Finding the Fourth Proportional to 397,208.82, 595,752.75 and 130,958.58

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Solution

The fourth proportional to 397,208.82, 595,752.75 and 130,958.58 is: 196,417.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,208.82 : 595,752.75 = 130,958.58 : x
  2. Step 2: Convert to fraction form
    397,208.82/595,752.75 = 130,958.58/x
  3. Step 3: Cross multiply
    397,208.82x = 595,752.75 × 130,958.58
  4. Step 4: Simplify right side
    397,208.82x = 78,018,934,171.10
  5. Step 5: Solve for x
    x = 78,018,934,171.10/397,208.82
  6. Step 6: Final answer
    x = 196,417.93

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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.