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Finding the Fourth Proportional to 490,259.20, 735,388.80 and 411,527.20

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Solution

The fourth proportional to 490,259.20, 735,388.80 and 411,527.20 is: 617,290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,259.20 : 735,388.80 = 411,527.20 : x
  2. Step 2: Convert to fraction form
    490,259.20/735,388.80 = 411,527.20/x
  3. Step 3: Cross multiply
    490,259.20x = 735,388.80 × 411,527.20
  4. Step 4: Simplify right side
    490,259.20x = 302,632,493,775.36
  5. Step 5: Solve for x
    x = 302,632,493,775.36/490,259.20
  6. Step 6: Final answer
    x = 617,290.80

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Similar ratio
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1.5x scale

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.