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Finding the Fourth Proportional to 647,548.20, 972,197.10 and 411,352.20

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Solution

The fourth proportional to 647,548.20, 972,197.10 and 411,352.20 is: 617,584.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,548.20 : 972,197.10 = 411,352.20 : x
  2. Step 2: Convert to fraction form
    647,548.20/972,197.10 = 411,352.20/x
  3. Step 3: Cross multiply
    647,548.20x = 972,197.10 × 411,352.20
  4. Step 4: Simplify right side
    647,548.20x = 399,915,415,918.62
  5. Step 5: Solve for x
    x = 399,915,415,918.62/647,548.20
  6. Step 6: Final answer
    x = 617,584.01

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Double scale
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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.