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Finding the Fourth Proportional to 382,194.78, 573,290.01 and 97,884.78

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Solution

The fourth proportional to 382,194.78, 573,290.01 and 97,884.78 is: 146,826.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,194.78 : 573,290.01 = 97,884.78 : x
  2. Step 2: Convert to fraction form
    382,194.78/573,290.01 = 97,884.78/x
  3. Step 3: Cross multiply
    382,194.78x = 573,290.01 × 97,884.78
  4. Step 4: Simplify right side
    382,194.78x = 56,116,366,505.05
  5. Step 5: Solve for x
    x = 56,116,366,505.05/382,194.78
  6. Step 6: Final answer
    x = 146,826.62

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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.