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Finding the Fourth Proportional to 349,665.96, 523,522.32 and 189,167.96

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Solution

The fourth proportional to 349,665.96, 523,522.32 and 189,167.96 is: 283,223.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,665.96 : 523,522.32 = 189,167.96 : x
  2. Step 2: Convert to fraction form
    349,665.96/523,522.32 = 189,167.96/x
  3. Step 3: Cross multiply
    349,665.96x = 523,522.32 × 189,167.96
  4. Step 4: Simplify right side
    349,665.96x = 99,033,649,288.87
  5. Step 5: Solve for x
    x = 99,033,649,288.87/349,665.96
  6. Step 6: Final answer
    x = 283,223.59

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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.