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Finding the Fourth Proportional to 413,683.86, 619,951.68 and 188,493.96

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Solution

The fourth proportional to 413,683.86, 619,951.68 and 188,493.96 is: 282,479.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,683.86 : 619,951.68 = 188,493.96 : x
  2. Step 2: Convert to fraction form
    413,683.86/619,951.68 = 188,493.96/x
  3. Step 3: Cross multiply
    413,683.86x = 619,951.68 × 188,493.96
  4. Step 4: Simplify right side
    413,683.86x = 116,857,147,171.85
  5. Step 5: Solve for x
    x = 116,857,147,171.85/413,683.86
  6. Step 6: Final answer
    x = 282,479.35

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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.