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Finding the Fourth Proportional to 349,176.96, 523,995.12 and 191,516

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Solution

The fourth proportional to 349,176.96, 523,995.12 and 191,516 is: 287,399.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,176.96 : 523,995.12 = 191,516 : x
  2. Step 2: Convert to fraction form
    349,176.96/523,995.12 = 191,516/x
  3. Step 3: Cross multiply
    349,176.96x = 523,995.12 × 191,516
  4. Step 4: Simplify right side
    349,176.96x = 100,353,449,401.92
  5. Step 5: Solve for x
    x = 100,353,449,401.92/349,176.96
  6. Step 6: Final answer
    x = 287,399.97

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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.