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Finding the Fourth Proportional to 411,379.80, 617,069.70 and 145,138.20

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Solution

The fourth proportional to 411,379.80, 617,069.70 and 145,138.20 is: 217,707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,379.80 : 617,069.70 = 145,138.20 : x
  2. Step 2: Convert to fraction form
    411,379.80/617,069.70 = 145,138.20/x
  3. Step 3: Cross multiply
    411,379.80x = 617,069.70 × 145,138.20
  4. Step 4: Simplify right side
    411,379.80x = 89,560,385,532.54
  5. Step 5: Solve for x
    x = 89,560,385,532.54/411,379.80
  6. Step 6: Final answer
    x = 217,707.30

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Double scale
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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.