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Finding the Fourth Proportional to 349,640.97, 524,316.87 and 109,674.83

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Solution

The fourth proportional to 349,640.97, 524,316.87 and 109,674.83 is: 164,466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,640.97 : 524,316.87 = 109,674.83 : x
  2. Step 2: Convert to fraction form
    349,640.97/524,316.87 = 109,674.83/x
  3. Step 3: Cross multiply
    349,640.97x = 524,316.87 × 109,674.83
  4. Step 4: Simplify right side
    349,640.97x = 57,504,363,583.38
  5. Step 5: Solve for x
    x = 57,504,363,583.38/349,640.97
  6. Step 6: Final answer
    x = 164,466.89

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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.