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Finding the Fourth Proportional to 410,829.57, 616,751.73 and 194,894.73

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Solution

The fourth proportional to 410,829.57, 616,751.73 and 194,894.73 is: 292,582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,829.57 : 616,751.73 = 194,894.73 : x
  2. Step 2: Convert to fraction form
    410,829.57/616,751.73 = 194,894.73/x
  3. Step 3: Cross multiply
    410,829.57x = 616,751.73 × 194,894.73
  4. Step 4: Simplify right side
    410,829.57x = 120,201,661,895.38
  5. Step 5: Solve for x
    x = 120,201,661,895.38/410,829.57
  6. Step 6: Final answer
    x = 292,582.79

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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.