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Finding the Fourth Proportional to 289,876.38, 434,610.86 and 127,693.46

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Solution

The fourth proportional to 289,876.38, 434,610.86 and 127,693.46 is: 191,450.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,876.38 : 434,610.86 = 127,693.46 : x
  2. Step 2: Convert to fraction form
    289,876.38/434,610.86 = 127,693.46/x
  3. Step 3: Cross multiply
    289,876.38x = 434,610.86 × 127,693.46
  4. Step 4: Simplify right side
    289,876.38x = 55,496,964,466.98
  5. Step 5: Solve for x
    x = 55,496,964,466.98/289,876.38
  6. Step 6: Final answer
    x = 191,450.45

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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.