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Finding the Fourth Proportional to 414,096.54, 620,511.23 and 278,659.04

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Solution

The fourth proportional to 414,096.54, 620,511.23 and 278,659.04 is: 417,562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,096.54 : 620,511.23 = 278,659.04 : x
  2. Step 2: Convert to fraction form
    414,096.54/620,511.23 = 278,659.04/x
  3. Step 3: Cross multiply
    414,096.54x = 620,511.23 × 278,659.04
  4. Step 4: Simplify right side
    414,096.54x = 172,911,063,661.02
  5. Step 5: Solve for x
    x = 172,911,063,661.02/414,096.54
  6. Step 6: Final answer
    x = 417,562.20

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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.