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Finding the Fourth Proportional to 496,290, 743,842.08 and 180,575.04

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Solution

The fourth proportional to 496,290, 743,842.08 and 180,575.04 is: 270,646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,290 : 743,842.08 = 180,575.04 : x
  2. Step 2: Convert to fraction form
    496,290/743,842.08 = 180,575.04/x
  3. Step 3: Cross multiply
    496,290x = 743,842.08 × 180,575.04
  4. Step 4: Simplify right side
    496,290x = 134,319,313,349.68
  5. Step 5: Solve for x
    x = 134,319,313,349.68/496,290
  6. Step 6: Final answer
    x = 270,646.83

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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.