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Finding the Fourth Proportional to 349,606.12, 524,409.66 and 149,797

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Solution

The fourth proportional to 349,606.12, 524,409.66 and 149,797 is: 224,695.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,606.12 : 524,409.66 = 149,797 : x
  2. Step 2: Convert to fraction form
    349,606.12/524,409.66 = 149,797/x
  3. Step 3: Cross multiply
    349,606.12x = 524,409.66 × 149,797
  4. Step 4: Simplify right side
    349,606.12x = 78,554,993,839.02
  5. Step 5: Solve for x
    x = 78,554,993,839.02/349,606.12
  6. Step 6: Final answer
    x = 224,695.71

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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.