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Finding the Fourth Proportional to 351,636.60, 527,109.30 and 314,311.80

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Solution

The fourth proportional to 351,636.60, 527,109.30 and 314,311.80 is: 471,158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,636.60 : 527,109.30 = 314,311.80 : x
  2. Step 2: Convert to fraction form
    351,636.60/527,109.30 = 314,311.80/x
  3. Step 3: Cross multiply
    351,636.60x = 527,109.30 × 314,311.80
  4. Step 4: Simplify right side
    351,636.60x = 165,676,672,879.74
  5. Step 5: Solve for x
    x = 165,676,672,879.74/351,636.60
  6. Step 6: Final answer
    x = 471,158.78

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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.