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Finding the Fourth Proportional to 490,402.80, 735,969.24 and 364,336.56

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Solution

The fourth proportional to 490,402.80, 735,969.24 and 364,336.56 is: 546,776.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,402.80 : 735,969.24 = 364,336.56 : x
  2. Step 2: Convert to fraction form
    490,402.80/735,969.24 = 364,336.56/x
  3. Step 3: Cross multiply
    490,402.80x = 735,969.24 × 364,336.56
  4. Step 4: Simplify right side
    490,402.80x = 268,140,501,167.41
  5. Step 5: Solve for x
    x = 268,140,501,167.41/490,402.80
  6. Step 6: Final answer
    x = 546,776.04

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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.