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Finding the Fourth Proportional to 448,857.68, 672,704.64 and 182,306

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Solution

The fourth proportional to 448,857.68, 672,704.64 and 182,306 is: 273,222.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,857.68 : 672,704.64 = 182,306 : x
  2. Step 2: Convert to fraction form
    448,857.68/672,704.64 = 182,306/x
  3. Step 3: Cross multiply
    448,857.68x = 672,704.64 × 182,306
  4. Step 4: Simplify right side
    448,857.68x = 122,638,092,099.84
  5. Step 5: Solve for x
    x = 122,638,092,099.84/448,857.68
  6. Step 6: Final answer
    x = 273,222.67

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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.