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Finding the Fourth Proportional to 349,103.88, 523,645.36 and 96,399.84

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Solution

The fourth proportional to 349,103.88, 523,645.36 and 96,399.84 is: 144,596.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,103.88 : 523,645.36 = 96,399.84 : x
  2. Step 2: Convert to fraction form
    349,103.88/523,645.36 = 96,399.84/x
  3. Step 3: Cross multiply
    349,103.88x = 523,645.36 × 96,399.84
  4. Step 4: Simplify right side
    349,103.88x = 50,479,328,920.74
  5. Step 5: Solve for x
    x = 50,479,328,920.74/349,103.88
  6. Step 6: Final answer
    x = 144,596.87

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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.