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Finding the Fourth Proportional to 275,176.30, 384,459.50 and 275,176.30

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Solution

The fourth proportional to 275,176.30, 384,459.50 and 275,176.30 is: 384,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,176.30 : 384,459.50 = 275,176.30 : x
  2. Step 2: Convert to fraction form
    275,176.30/384,459.50 = 275,176.30/x
  3. Step 3: Cross multiply
    275,176.30x = 384,459.50 × 275,176.30
  4. Step 4: Simplify right side
    275,176.30x = 105,794,142,709.85
  5. Step 5: Solve for x
    x = 105,794,142,709.85/275,176.30
  6. Step 6: Final answer
    x = 384,459.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.