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Finding the Fourth Proportional to 496,843.12, 745,434.76 and 212,416.48

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Solution

The fourth proportional to 496,843.12, 745,434.76 and 212,416.48 is: 318,697.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,843.12 : 745,434.76 = 212,416.48 : x
  2. Step 2: Convert to fraction form
    496,843.12/745,434.76 = 212,416.48/x
  3. Step 3: Cross multiply
    496,843.12x = 745,434.76 × 212,416.48
  4. Step 4: Simplify right side
    496,843.12x = 158,342,627,788.85
  5. Step 5: Solve for x
    x = 158,342,627,788.85/496,843.12
  6. Step 6: Final answer
    x = 318,697.43

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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.