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Finding the Fourth Proportional to 382,055.22, 573,049.80 and 129,330.32

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Solution

The fourth proportional to 382,055.22, 573,049.80 and 129,330.32 is: 193,984.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,055.22 : 573,049.80 = 129,330.32 : x
  2. Step 2: Convert to fraction form
    382,055.22/573,049.80 = 129,330.32/x
  3. Step 3: Cross multiply
    382,055.22x = 573,049.80 × 129,330.32
  4. Step 4: Simplify right side
    382,055.22x = 74,112,711,144.69
  5. Step 5: Solve for x
    x = 74,112,711,144.69/382,055.22
  6. Step 6: Final answer
    x = 193,984.29

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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.