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Finding the Fourth Proportional to 466,302.20, 699,453.30 and 413,814.20

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Solution

The fourth proportional to 466,302.20, 699,453.30 and 413,814.20 is: 620,721.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,302.20 : 699,453.30 = 413,814.20 : x
  2. Step 2: Convert to fraction form
    466,302.20/699,453.30 = 413,814.20/x
  3. Step 3: Cross multiply
    466,302.20x = 699,453.30 × 413,814.20
  4. Step 4: Simplify right side
    466,302.20x = 289,443,707,776.86
  5. Step 5: Solve for x
    x = 289,443,707,776.86/466,302.20
  6. Step 6: Final answer
    x = 620,721.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.