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Finding the Fourth Proportional to 543,832.84, 815,769.76 and 206,810.67

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Solution

The fourth proportional to 543,832.84, 815,769.76 and 206,810.67 is: 310,223.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,832.84 : 815,769.76 = 206,810.67 : x
  2. Step 2: Convert to fraction form
    543,832.84/815,769.76 = 206,810.67/x
  3. Step 3: Cross multiply
    543,832.84x = 815,769.76 × 206,810.67
  4. Step 4: Simplify right side
    543,832.84x = 168,709,890,631.34
  5. Step 5: Solve for x
    x = 168,709,890,631.34/543,832.84
  6. Step 6: Final answer
    x = 310,223.80

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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.