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Finding the Fourth Proportional to 490,846.20, 736,269.30 and 402,199.80

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Solution

The fourth proportional to 490,846.20, 736,269.30 and 402,199.80 is: 603,299.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,846.20 : 736,269.30 = 402,199.80 : x
  2. Step 2: Convert to fraction form
    490,846.20/736,269.30 = 402,199.80/x
  3. Step 3: Cross multiply
    490,846.20x = 736,269.30 × 402,199.80
  4. Step 4: Simplify right side
    490,846.20x = 296,127,365,206.14
  5. Step 5: Solve for x
    x = 296,127,365,206.14/490,846.20
  6. Step 6: Final answer
    x = 603,299.70

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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.