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Finding the Fourth Proportional to 396,094.80, 594,241.72 and 183,013.50

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Solution

The fourth proportional to 396,094.80, 594,241.72 and 183,013.50 is: 274,566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,094.80 : 594,241.72 = 183,013.50 : x
  2. Step 2: Convert to fraction form
    396,094.80/594,241.72 = 183,013.50/x
  3. Step 3: Cross multiply
    396,094.80x = 594,241.72 × 183,013.50
  4. Step 4: Simplify right side
    396,094.80x = 108,754,257,023.22
  5. Step 5: Solve for x
    x = 108,754,257,023.22/396,094.80
  6. Step 6: Final answer
    x = 274,566.23

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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.