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Finding the Fourth Proportional to 397,009.53, 595,606.41 and 130,760.49

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Solution

The fourth proportional to 397,009.53, 595,606.41 and 130,760.49 is: 196,171.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,009.53 : 595,606.41 = 130,760.49 : x
  2. Step 2: Convert to fraction form
    397,009.53/595,606.41 = 130,760.49/x
  3. Step 3: Cross multiply
    397,009.53x = 595,606.41 × 130,760.49
  4. Step 4: Simplify right side
    397,009.53x = 77,881,786,018.74
  5. Step 5: Solve for x
    x = 77,881,786,018.74/397,009.53
  6. Step 6: Final answer
    x = 196,171.07

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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.