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Finding the Fourth Proportional to 490,861.20, 736,291.80 and 402,214.80

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Solution

The fourth proportional to 490,861.20, 736,291.80 and 402,214.80 is: 603,322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,861.20 : 736,291.80 = 402,214.80 : x
  2. Step 2: Convert to fraction form
    490,861.20/736,291.80 = 402,214.80/x
  3. Step 3: Cross multiply
    490,861.20x = 736,291.80 × 402,214.80
  4. Step 4: Simplify right side
    490,861.20x = 296,147,459,078.64
  5. Step 5: Solve for x
    x = 296,147,459,078.64/490,861.20
  6. Step 6: Final answer
    x = 603,322.20

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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.