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Finding the Fourth Proportional to 349,179.38, 523,554.71 and 135,698.03

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Solution

The fourth proportional to 349,179.38, 523,554.71 and 135,698.03 is: 203,463.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,179.38 : 523,554.71 = 135,698.03 : x
  2. Step 2: Convert to fraction form
    349,179.38/523,554.71 = 135,698.03/x
  3. Step 3: Cross multiply
    349,179.38x = 523,554.71 × 135,698.03
  4. Step 4: Simplify right side
    349,179.38x = 71,045,340,465.69
  5. Step 5: Solve for x
    x = 71,045,340,465.69/349,179.38
  6. Step 6: Final answer
    x = 203,463.73

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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.