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Finding the Fourth Proportional to 349,045.43, 523,568.34 and 99,727.43

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Solution

The fourth proportional to 349,045.43, 523,568.34 and 99,727.43 is: 149,591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,045.43 : 523,568.34 = 99,727.43 : x
  2. Step 2: Convert to fraction form
    349,045.43/523,568.34 = 99,727.43/x
  3. Step 3: Cross multiply
    349,045.43x = 523,568.34 × 99,727.43
  4. Step 4: Simplify right side
    349,045.43x = 52,214,122,359.72
  5. Step 5: Solve for x
    x = 52,214,122,359.72/349,045.43
  6. Step 6: Final answer
    x = 149,591.20

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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.