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Finding the Fourth Proportional to 382,560.30, 574,059.15 and 146,072.70

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Solution

The fourth proportional to 382,560.30, 574,059.15 and 146,072.70 is: 219,192.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,560.30 : 574,059.15 = 146,072.70 : x
  2. Step 2: Convert to fraction form
    382,560.30/574,059.15 = 146,072.70/x
  3. Step 3: Cross multiply
    382,560.30x = 574,059.15 × 146,072.70
  4. Step 4: Simplify right side
    382,560.30x = 83,854,370,000.21
  5. Step 5: Solve for x
    x = 83,854,370,000.21/382,560.30
  6. Step 6: Final answer
    x = 219,192.56

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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.