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Finding the Fourth Proportional to 349,172.66, 523,789.16 and 96,453.06

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Solution

The fourth proportional to 349,172.66, 523,789.16 and 96,453.06 is: 144,687.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,172.66 : 523,789.16 = 96,453.06 : x
  2. Step 2: Convert to fraction form
    349,172.66/523,789.16 = 96,453.06/x
  3. Step 3: Cross multiply
    349,172.66x = 523,789.16 × 96,453.06
  4. Step 4: Simplify right side
    349,172.66x = 50,521,066,794.56
  5. Step 5: Solve for x
    x = 50,521,066,794.56/349,172.66
  6. Step 6: Final answer
    x = 144,687.92

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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.