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Finding the Fourth Proportional to 349,266.45, 523,898.31 and 96,546.45

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Solution

The fourth proportional to 349,266.45, 523,898.31 and 96,546.45 is: 144,819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,266.45 : 523,898.31 = 96,546.45 : x
  2. Step 2: Convert to fraction form
    349,266.45/523,898.31 = 96,546.45/x
  3. Step 3: Cross multiply
    349,266.45x = 523,898.31 × 96,546.45
  4. Step 4: Simplify right side
    349,266.45x = 50,580,524,318.17
  5. Step 5: Solve for x
    x = 50,580,524,318.17/349,266.45
  6. Step 6: Final answer
    x = 144,819.30

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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.