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Finding the Fourth Proportional to 397,980.06, 596,999.49 and 113,694.68

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Solution

The fourth proportional to 397,980.06, 596,999.49 and 113,694.68 is: 170,550.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,980.06 : 596,999.49 = 113,694.68 : x
  2. Step 2: Convert to fraction form
    397,980.06/596,999.49 = 113,694.68/x
  3. Step 3: Cross multiply
    397,980.06x = 596,999.49 × 113,694.68
  4. Step 4: Simplify right side
    397,980.06x = 67,875,662,990.72
  5. Step 5: Solve for x
    x = 67,875,662,990.72/397,980.06
  6. Step 6: Final answer
    x = 170,550.41

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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.