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Finding the Fourth Proportional to 449,052, 673,864.80 and 212,408.64

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Solution

The fourth proportional to 449,052, 673,864.80 and 212,408.64 is: 318,748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,052 : 673,864.80 = 212,408.64 : x
  2. Step 2: Convert to fraction form
    449,052/673,864.80 = 212,408.64/x
  3. Step 3: Cross multiply
    449,052x = 673,864.80 × 212,408.64
  4. Step 4: Simplify right side
    449,052x = 143,134,705,711.87
  5. Step 5: Solve for x
    x = 143,134,705,711.87/449,052
  6. Step 6: Final answer
    x = 318,748.62

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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.