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Finding the Fourth Proportional to 349,178.63, 523,553.59 and 135,697.27

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Solution

The fourth proportional to 349,178.63, 523,553.59 and 135,697.27 is: 203,462.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,178.63 : 523,553.59 = 135,697.27 : x
  2. Step 2: Convert to fraction form
    349,178.63/523,553.59 = 135,697.27/x
  3. Step 3: Cross multiply
    349,178.63x = 523,553.59 × 135,697.27
  4. Step 4: Simplify right side
    349,178.63x = 71,044,794,776.61
  5. Step 5: Solve for x
    x = 71,044,794,776.61/349,178.63
  6. Step 6: Final answer
    x = 203,462.61

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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.