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Finding the Fourth Proportional to 347,911.76, 521,658.12 and 189,920.72

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Solution

The fourth proportional to 347,911.76, 521,658.12 and 189,920.72 is: 284,766.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,911.76 : 521,658.12 = 189,920.72 : x
  2. Step 2: Convert to fraction form
    347,911.76/521,658.12 = 189,920.72/x
  3. Step 3: Cross multiply
    347,911.76x = 521,658.12 × 189,920.72
  4. Step 4: Simplify right side
    347,911.76x = 99,073,685,744.25
  5. Step 5: Solve for x
    x = 99,073,685,744.25/347,911.76
  6. Step 6: Final answer
    x = 284,766.71

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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.