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Finding the Fourth Proportional to 546,940.08, 754,815.11 and 305,269.83

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Solution

The fourth proportional to 546,940.08, 754,815.11 and 305,269.83 is: 421,293.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,940.08 : 754,815.11 = 305,269.83 : x
  2. Step 2: Convert to fraction form
    546,940.08/754,815.11 = 305,269.83/x
  3. Step 3: Cross multiply
    546,940.08x = 754,815.11 × 305,269.83
  4. Step 4: Simplify right side
    546,940.08x = 230,422,278,784.78
  5. Step 5: Solve for x
    x = 230,422,278,784.78/546,940.08
  6. Step 6: Final answer
    x = 421,293.46

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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.