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Finding the Fourth Proportional to 316,898.34, 475,027.67 and 198,652.73

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Solution

The fourth proportional to 316,898.34, 475,027.67 and 198,652.73 is: 297,778.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,898.34 : 475,027.67 = 198,652.73 : x
  2. Step 2: Convert to fraction form
    316,898.34/475,027.67 = 198,652.73/x
  3. Step 3: Cross multiply
    316,898.34x = 475,027.67 × 198,652.73
  4. Step 4: Simplify right side
    316,898.34x = 94,365,540,102.64
  5. Step 5: Solve for x
    x = 94,365,540,102.64/316,898.34
  6. Step 6: Final answer
    x = 297,778.59

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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.