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Finding the Fourth Proportional to 382,301.56, 573,094.17 and 129,405.07

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Solution

The fourth proportional to 382,301.56, 573,094.17 and 129,405.07 is: 193,986.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,301.56 : 573,094.17 = 129,405.07 : x
  2. Step 2: Convert to fraction form
    382,301.56/573,094.17 = 129,405.07/x
  3. Step 3: Cross multiply
    382,301.56x = 573,094.17 × 129,405.07
  4. Step 4: Simplify right side
    382,301.56x = 74,161,291,185.44
  5. Step 5: Solve for x
    x = 74,161,291,185.44/382,301.56
  6. Step 6: Final answer
    x = 193,986.37

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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.