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Finding the Fourth Proportional to 490,147.20, 735,220.80 and 411,415.20

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Solution

The fourth proportional to 490,147.20, 735,220.80 and 411,415.20 is: 617,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,147.20 : 735,220.80 = 411,415.20 : x
  2. Step 2: Convert to fraction form
    490,147.20/735,220.80 = 411,415.20/x
  3. Step 3: Cross multiply
    490,147.20x = 735,220.80 × 411,415.20
  4. Step 4: Simplify right side
    490,147.20x = 302,481,012,476.16
  5. Step 5: Solve for x
    x = 302,481,012,476.16/490,147.20
  6. Step 6: Final answer
    x = 617,122.80

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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.