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Finding the Fourth Proportional to 546,059.85, 819,034.42 and 146,648.73

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Solution

The fourth proportional to 546,059.85, 819,034.42 and 146,648.73 is: 219,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,059.85 : 819,034.42 = 146,648.73 : x
  2. Step 2: Convert to fraction form
    546,059.85/819,034.42 = 146,648.73/x
  3. Step 3: Cross multiply
    546,059.85x = 819,034.42 × 146,648.73
  4. Step 4: Simplify right side
    546,059.85x = 120,110,354,264.60
  5. Step 5: Solve for x
    x = 120,110,354,264.60/546,059.85
  6. Step 6: Final answer
    x = 219,958.22

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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.