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Finding the Fourth Proportional to 349,163.69, 523,735.13 and 96,459.38

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Solution

The fourth proportional to 349,163.69, 523,735.13 and 96,459.38 is: 144,686.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,163.69 : 523,735.13 = 96,459.38 : x
  2. Step 2: Convert to fraction form
    349,163.69/523,735.13 = 96,459.38/x
  3. Step 3: Cross multiply
    349,163.69x = 523,735.13 × 96,459.38
  4. Step 4: Simplify right side
    349,163.69x = 50,519,162,823.05
  5. Step 5: Solve for x
    x = 50,519,162,823.05/349,163.69
  6. Step 6: Final answer
    x = 144,686.19

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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.