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Finding the Fourth Proportional to 297,383.50, 410,116.98 and 195,368.50

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Solution

The fourth proportional to 297,383.50, 410,116.98 and 195,368.50 is: 269,429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,383.50 : 410,116.98 = 195,368.50 : x
  2. Step 2: Convert to fraction form
    297,383.50/410,116.98 = 195,368.50/x
  3. Step 3: Cross multiply
    297,383.50x = 410,116.98 × 195,368.50
  4. Step 4: Simplify right side
    297,383.50x = 80,123,939,207.13
  5. Step 5: Solve for x
    x = 80,123,939,207.13/297,383.50
  6. Step 6: Final answer
    x = 269,429.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.