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Finding the Fourth Proportional to 264,707.28, 397,078.20 and 193,842

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Solution

The fourth proportional to 264,707.28, 397,078.20 and 193,842 is: 290,775.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,707.28 : 397,078.20 = 193,842 : x
  2. Step 2: Convert to fraction form
    264,707.28/397,078.20 = 193,842/x
  3. Step 3: Cross multiply
    264,707.28x = 397,078.20 × 193,842
  4. Step 4: Simplify right side
    264,707.28x = 76,970,432,444.40
  5. Step 5: Solve for x
    x = 76,970,432,444.40/264,707.28
  6. Step 6: Final answer
    x = 290,775.65

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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.