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Finding the Fourth Proportional to 298,673.08, 446,956.82 and 186,405.86

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Solution

The fourth proportional to 298,673.08, 446,956.82 and 186,405.86 is: 278,951.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,673.08 : 446,956.82 = 186,405.86 : x
  2. Step 2: Convert to fraction form
    298,673.08/446,956.82 = 186,405.86/x
  3. Step 3: Cross multiply
    298,673.08x = 446,956.82 × 186,405.86
  4. Step 4: Simplify right side
    298,673.08x = 83,315,371,299.35
  5. Step 5: Solve for x
    x = 83,315,371,299.35/298,673.08
  6. Step 6: Final answer
    x = 278,951.73

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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.