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Finding the Fourth Proportional to 393,657.67, 590,580.21 and 127,418.16

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Solution

The fourth proportional to 393,657.67, 590,580.21 and 127,418.16 is: 191,157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,657.67 : 590,580.21 = 127,418.16 : x
  2. Step 2: Convert to fraction form
    393,657.67/590,580.21 = 127,418.16/x
  3. Step 3: Cross multiply
    393,657.67x = 590,580.21 × 127,418.16
  4. Step 4: Simplify right side
    393,657.67x = 75,250,646,383.11
  5. Step 5: Solve for x
    x = 75,250,646,383.11/393,657.67
  6. Step 6: Final answer
    x = 191,157.58

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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.