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Finding the Fourth Proportional to 546,810.23, 820,213.11 and 147,491.43

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Solution

The fourth proportional to 546,810.23, 820,213.11 and 147,491.43 is: 221,236.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,810.23 : 820,213.11 = 147,491.43 : x
  2. Step 2: Convert to fraction form
    546,810.23/820,213.11 = 147,491.43/x
  3. Step 3: Cross multiply
    546,810.23x = 820,213.11 × 147,491.43
  4. Step 4: Simplify right side
    546,810.23x = 120,974,404,498.65
  5. Step 5: Solve for x
    x = 120,974,404,498.65/546,810.23
  6. Step 6: Final answer
    x = 221,236.54

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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.