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Finding the Fourth Proportional to 347,147.14, 520,732.22 and 119,440.57

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Solution

The fourth proportional to 347,147.14, 520,732.22 and 119,440.57 is: 179,164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,147.14 : 520,732.22 = 119,440.57 : x
  2. Step 2: Convert to fraction form
    347,147.14/520,732.22 = 119,440.57/x
  3. Step 3: Cross multiply
    347,147.14x = 520,732.22 × 119,440.57
  4. Step 4: Simplify right side
    347,147.14x = 62,196,553,174.17
  5. Step 5: Solve for x
    x = 62,196,553,174.17/347,147.14
  6. Step 6: Final answer
    x = 179,164.82

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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.