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Finding the Fourth Proportional to 466,842.40, 699,709.95 and 419,234.10

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Solution

The fourth proportional to 466,842.40, 699,709.95 and 419,234.10 is: 628,353.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,842.40 : 699,709.95 = 419,234.10 : x
  2. Step 2: Convert to fraction form
    466,842.40/699,709.95 = 419,234.10/x
  3. Step 3: Cross multiply
    466,842.40x = 699,709.95 × 419,234.10
  4. Step 4: Simplify right side
    466,842.40x = 293,342,271,149.30
  5. Step 5: Solve for x
    x = 293,342,271,149.30/466,842.40
  6. Step 6: Final answer
    x = 628,353.96

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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.